edit this map or download as text // json
Identifier
Mp00227: Dyck paths —Delest-Viennot-inverse⟶ Dyck paths
Images
[] => []
[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]
[1,0,1,1,0,0] => [1,1,0,0,1,0]
[1,1,0,0,1,0] => [1,0,1,1,0,0]
[1,1,0,1,0,0] => [1,0,1,0,1,0]
[1,1,1,0,0,0] => [1,1,0,1,0,0]
[1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0]
>>> Load all 9079 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [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] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[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]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[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]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [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] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0]
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Description
Return the Dyck path obtained by applying the inverse of Delest-Viennot's bijection to the corresponding parallelogram polyomino.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
The Delest-Viennot bijection $\beta$ returns the parallelogram polyomino, whose column heights are the heights of the peaks of the Dyck path, and the intersection heights between columns are the heights of the valleys of the Dyck path.
This map returns the Dyck path $(\beta^{(-1)}\circ\gamma)(D)$.
References
[1] Delest, M.-P., Viennot, Gérard Algebraic languages and polyominoes enumeration Delest, M.-P., Viennot, Gérard Algebraic languages and polyominoes enumeration MathSciNet:0774044
Properties
bijective, graded
Sage code
def mapping(D):
    pp = ParallelogramPolyomino.from_dyck_word(D)
    a = pp.heights()
    u = pp.upper_heights()
    b = [0] + [a[i]-u[i+1]+u[i]-1 for i in range(len(a)-1)] + [0]
    dyck = []
    for i in range(len(a)):
        dyck.extend([1]*(a[i]-b[i]))
        dyck.extend([0]*(a[i]-b[i+1]))
    return DyckWord(dyck)
Weight
21
Created
May 05, 2021 at 18:39 by Martin Rubey
Updated
May 05, 2021 at 20:46 by Martin Rubey