Identifier
Images
[] => []
[1,0] => [1,0]
[1,0,1,0] => [1,0,1,0]
[1,1,0,0] => [1,1,0,0]
[1,0,1,0,1,0] => [1,0,1,0,1,0]
[1,0,1,1,0,0] => [1,1,0,1,0,0]
[1,1,0,0,1,0] => [1,1,0,0,1,0]
[1,1,0,1,0,0] => [1,0,1,1,0,0]
[1,1,1,0,0,0] => [1,1,1,0,0,0]
[1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0]
>>> Load all 9421 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [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] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[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]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[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]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [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] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[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]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[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]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [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] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [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] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [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] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [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] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [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] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[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]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,1,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0]
[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] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[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] => [1,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]
[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] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[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] => [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[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] => [1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[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] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[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] => [1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[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] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0]
[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] => [1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[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] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]
[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] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]
[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] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[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] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[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] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[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] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[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] => [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]
[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] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[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] => [1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]
[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] => [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[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] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]
[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] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0]
[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] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[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] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[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] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[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] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]
[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] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[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] => [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[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] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[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] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]
[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] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[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] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0]
[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] => [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [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]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [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]
[1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [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]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [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]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[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] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0]
[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] => [1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[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] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[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] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0] => [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]
[1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[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] => [1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[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] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => [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]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]
[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] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
[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] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Inverses
Mp00132switch returns and last double rise ∘ Mp00132switch returns and last double rise = id : Dyck paths ⟶ Dyck paths
Commutation relations
Mp00132switch returns and last double rise ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = Mp00143inverse promotion ∘ Mp00199prime Dyck path ∘ Mp00132switch returns and last double rise : Dyck paths ⟶ Dyck paths
Intertwining relations
Mp00101decomposition reverse ∘ Mp00132switch returns and last double rise ∘ Mp00231bounce path = Mp00231bounce path ∘ Mp00041conjugate : Integer compositions ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00101decomposition reverse ∘ Mp00231bounce path = Mp00231bounce path ∘ Mp00041conjugate : Integer compositions ⟶ Dyck paths
Mp00099bounce path ∘ Mp00030zeta map ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Absorbing relations
Mp00102rise composition ∘ Mp00028reverse ∘ Mp00132switch returns and last double rise = Mp00102rise composition ∘ Mp00028reverse : Dyck paths ⟶ Integer compositions
Mp00071descent composition ∘ Mp00031to 312-avoiding permutation ∘ Mp00132switch returns and last double rise = Mp00071descent composition ∘ Mp00031to 312-avoiding permutation : Dyck paths ⟶ Integer compositions
Mp00071descent composition ∘ Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00132switch returns and last double rise = Mp00071descent composition ∘ Mp00119to 321-avoiding permutation (Krattenthaler) : Dyck paths ⟶ Integer compositions
Mp00071descent composition ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) ∘ Mp00132switch returns and last double rise = Mp00071descent composition ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) : Dyck paths ⟶ Integer compositions
Mp00002to left key permutation ∘ Mp00137to symmetric ASM ∘ Mp00132switch returns and last double rise = Mp00002to left key permutation ∘ Mp00137to symmetric ASM : Dyck paths ⟶ Permutations
Mp00002to left key permutation ∘ Mp00035to alternating sign matrix ∘ Mp00132switch returns and last double rise = Mp00002to left key permutation ∘ Mp00035to alternating sign matrix : Dyck paths ⟶ Permutations
Mp00204LLPS ∘ Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00132switch returns and last double rise = Mp00204LLPS ∘ Mp00119to 321-avoiding permutation (Krattenthaler) : Dyck paths ⟶ Integer partitions
Mp00079shape ∘ Mp00138to noncrossing partition ∘ Mp00132switch returns and last double rise = Mp00079shape ∘ Mp00138to noncrossing partition : Dyck paths ⟶ Integer partitions
Mp00204LLPS ∘ Mp00025to 132-avoiding permutation ∘ Mp00132switch returns and last double rise = Mp00204LLPS ∘ Mp00025to 132-avoiding permutation : Dyck paths ⟶ Integer partitions
Mp00204LLPS ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) ∘ Mp00132switch returns and last double rise = Mp00204LLPS ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) : Dyck paths ⟶ Integer partitions
Mp00072binary search tree: left to right ∘ Mp00025to 132-avoiding permutation ∘ Mp00132switch returns and last double rise = Mp00072binary search tree: left to right ∘ Mp00025to 132-avoiding permutation : Dyck paths ⟶ Binary trees
Mp00061to increasing tree ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) ∘ Mp00132switch returns and last double rise = Mp00061to increasing tree ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) : Dyck paths ⟶ Binary trees
Mp00109descent word ∘ Mp00031to 312-avoiding permutation ∘ Mp00132switch returns and last double rise = Mp00109descent word ∘ Mp00031to 312-avoiding permutation : Dyck paths ⟶ Binary words
Mp00109descent word ∘ Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00132switch returns and last double rise = Mp00109descent word ∘ Mp00119to 321-avoiding permutation (Krattenthaler) : Dyck paths ⟶ Binary words
Mp00131descent bottoms ∘ Mp00025to 132-avoiding permutation ∘ Mp00132switch returns and last double rise = Mp00131descent bottoms ∘ Mp00025to 132-avoiding permutation : Dyck paths ⟶ Binary words
Mp00109descent word ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) ∘ Mp00132switch returns and last double rise = Mp00109descent word ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) : Dyck paths ⟶ Binary words
Mp00248DEX composition ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) ∘ Mp00132switch returns and last double rise = Mp00248DEX composition ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) : Dyck paths ⟶ Integer compositions
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00132switch returns and last double rise ∘ Mp00227Delest-Viennot-inverse ∘ Mp00230parallelogram polyomino = Mp00227Delest-Viennot-inverse ∘ Mp00230parallelogram polyomino : Integer partitions ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00132switch returns and last double rise ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00025to 132-avoiding permutation = Mp00127left-to-right-maxima to Dyck path ∘ Mp00025to 132-avoiding permutation : Dyck paths ⟶ Dyck paths
Mp00205maximal antichains ∘ Mp00242Hessenberg poset ∘ Mp00132switch returns and last double rise = Mp00205maximal antichains ∘ Mp00242Hessenberg poset : Dyck paths ⟶ Lattices
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00132switch returns and last double rise ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00014to 132-avoiding permutation = Mp00127left-to-right-maxima to Dyck path ∘ Mp00014to 132-avoiding permutation : Binary trees ⟶ Dyck paths
Constant maps
Mp00100touch composition ∘ Mp00132switch returns and last double rise ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Other relations
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00099bounce path = Mp00132switch returns and last double rise ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00101decomposition reverse ∘ Mp00099bounce path = Mp00120Lalanne-Kreweras involution ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00120Lalanne-Kreweras involution ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00032inverse zeta map ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path = Mp00101decomposition reverse ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00101decomposition reverse ∘ Mp00099bounce path = Mp00028reverse ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00032inverse zeta map ∘ Mp00099bounce path = Mp00028reverse ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00032inverse zeta map ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path = Mp00028reverse ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00132switch returns and last double rise ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00032inverse zeta map ∘ Mp00099bounce path = Mp00132switch returns and last double rise ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path = Mp00132switch returns and last double rise ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00231bounce path = Mp00132switch returns and last double rise ∘ Mp00231bounce path : Integer compositions ⟶ Dyck paths
Mp00031to 312-avoiding permutation ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00025to 132-avoiding permutation ∘ Mp00032inverse zeta map ∘ Mp00099bounce path : Dyck paths ⟶ Permutations
Mp00120Lalanne-Kreweras involution ∘ Mp00028reverse ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00101decomposition reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00101decomposition reverse ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00132switch returns and last double rise ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00032inverse zeta map ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00028reverse ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00032inverse zeta map ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00132switch returns and last double rise ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00030zeta map ∘ Mp00028reverse ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00101decomposition reverse ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00032inverse zeta map ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00132switch returns and last double rise ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00132switch returns and last double rise ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00034to binary tree: up step, left tree, down step, right tree ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path : Dyck paths ⟶ Binary trees
Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00132switch returns and last double rise ∘ Mp00099bounce path = Mp00034to binary tree: up step, left tree, down step, right tree ∘ Mp00032inverse zeta map ∘ Mp00099bounce path : Dyck paths ⟶ Binary trees
Mp00101decomposition reverse ∘ Mp00231bounce path ∘ Mp00039complement = Mp00132switch returns and last double rise ∘ Mp00231bounce path ∘ Mp00038reverse : Integer compositions ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00231bounce path ∘ Mp00041conjugate = Mp00132switch returns and last double rise ∘ Mp00231bounce path : Integer compositions ⟶ Dyck paths
Mp00028reverse ∘ Mp00132switch returns and last double rise ∘ Mp00231bounce path = Mp00032inverse zeta map ∘ Mp00231bounce path ∘ Mp00039complement : Integer compositions ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00231bounce path ∘ Mp00039complement = Mp00101decomposition reverse ∘ Mp00231bounce path ∘ Mp00038reverse : Integer compositions ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00231bounce path ∘ Mp00041conjugate = Mp00101decomposition reverse ∘ Mp00231bounce path : Integer compositions ⟶ Dyck paths
Mp00031to 312-avoiding permutation ∘ Mp00132switch returns and last double rise ∘ Mp00231bounce path = Mp00025to 132-avoiding permutation ∘ Mp00032inverse zeta map ∘ Mp00231bounce path : Integer compositions ⟶ Permutations
Mp00120Lalanne-Kreweras involution ∘ Mp00032inverse zeta map ∘ Mp00231bounce path = Mp00132switch returns and last double rise ∘ Mp00231bounce path ∘ Mp00038reverse : Integer compositions ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00132switch returns and last double rise ∘ Mp00231bounce path = Mp00032inverse zeta map ∘ Mp00231bounce path ∘ Mp00038reverse : Integer compositions ⟶ Dyck paths
Mp00102rise composition ∘ Mp00132switch returns and last double rise ∘ Mp00231bounce path = Mp00324chromatic difference sequence ∘ Mp00184to threshold graph : Integer compositions ⟶ Integer compositions
Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00132switch returns and last double rise ∘ Mp00231bounce path = Mp00034to binary tree: up step, left tree, down step, right tree ∘ Mp00032inverse zeta map ∘ Mp00231bounce path : Integer compositions ⟶ Binary trees
Mp00034to binary tree: up step, left tree, down step, right tree ∘ Mp00132switch returns and last double rise ∘ Mp00231bounce path = Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00231bounce path ∘ Mp00039complement : Integer compositions ⟶ Binary trees
Mp00127left-to-right-maxima to Dyck path ∘ Mp00025to 132-avoiding permutation ∘ Mp00032inverse zeta map ∘ Mp00099bounce path = Mp00132switch returns and last double rise ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00132switch returns and last double rise ∘ Mp00230parallelogram polyomino ∘ Mp00275to edge-partition of connected components = Mp00121Cori-Le Borgne involution ∘ Mp00230parallelogram polyomino ∘ Mp00275to edge-partition of connected components : Graphs ⟶ Dyck paths
Description
An alternative to the Adin-Bagno-Roichman transformation of a Dyck path.
This is a bijection preserving the number of up steps before each peak and exchanging the number of components with the position of the last double rise.
This is a bijection preserving the number of up steps before each peak and exchanging the number of components with the position of the last double rise.
References
[1] Rubey, M. An involution on Dyck paths that preserves the rise composition and interchanges the number of returns and the position of the first double fall arXiv:1701.07009
Properties
bijective, graded, involutive
Sage code
def mapping(D):
"""
sage: r=7; l = [(D, mapping(D)) for D in DyckWords(r)]
sage: [D1 for D1, D2 in l if D2 and not (ldasc(D1) == D2.number_of_touch_points() and
....: ldasc(D2) == D1.number_of_touch_points() and
....: D1.reverse().rise_composition() == D2.reverse().rise_composition())]
[]
"""
def ldasc(D):
"""
Return the number of up steps after the last double rise.
EXAMPLES::
sage: ldasc([1,1,0,0])
1
sage: ldasc([1,1,0,1,0,0])
2
sage: ldasc([1,0,1,0,0])
2
"""
i = 0
j = 0
for j in range(1,len(D)):
if D[-j] == 1:
i += 1
if D[-j-1] == 1:
return i
return i+1
def position_of_last_double_ascent(D):
"""
Return the index of the last double rise within the Dyck word.
EXAMPLES:
sage: position_of_last_double_ascent([1,1])
0
sage: position_of_last_double_ascent([1,1,1])
1
sage: D = DyckWord([1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0])
sage: D[position_of_last_double_ascent(D):]
[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0]
"""
n = len(D)
i = 0
l = -1
while i < n-1:
if D[i] == D[i+1] == 1:
l = i
i += 1
return l
def no_return_to_one_return(D):
# compute first rise after last double rise
i = position_of_last_double_ascent(D)+2
while D[i] == 0:
i += 1
p = prime_decomposition(D[:i])
if len(p)>3 and len(p[2])==0:
if all(len(p[j])==0 for j in range(2,len(p),2)):
# p[2] == p[4] == ... == []
Q = [e for P in p[1:] for e in P]
Q, b = shrink_last_ascent(Q)
return DyckWord([1]*b + Q + p[0] + D[i:])
else:
Q = [e for P in p[3:] for e in P]
Q, b = shrink_last_ascent(Q)
return DyckWord(p[1] + [1]*b + Q + p[0] + D[i:])
else:
Q = [e for P in p[1:-1] for e in P]
return DyckWord(Q + p[0] + D[i:])
def shrink_last_ascent(p):
i1 = len(p)-1
while p[i1] == 0:
i1 -= 1
i2 = i1
while p[i2] == 1:
i2 -= 1
return (p[:i2+2] + [0]*(len(p)-i1-1), i1-i2-1)
def one_return_to_no_return(D):
D = DyckWord(D)
# compute first rise after last double rise
i = position_of_last_double_ascent(D)+1
a = 0
while D[i-a] == 1:
a += 1
# compute first fall before the rise
d = 0
while D[i-a-d] == 0:
d += 1
a -= 1
prefix = D[:i-a-d]
# determine length of last rise in the prefix
if prefix[-2:] == [1, 1]:
return [1]*a + prefix + [0]*d + D[i:]
if DyckWord(prefix).number_of_touch_points() == 0:
p = prime_decomposition(prefix)
return [1]*a + [e for P in p[1:] for e in P] + p[0] + [0]*d + D[i:]
else:
p = prime_decomposition(prefix)
return [1]*a + p[1] + [e for P in p[3:] for e in P] + p[2] + [0]*d + D[i:]
def prime_decomposition(W):
"""Return decomposition of a word into prime Dyck paths.
INPUT:
- W, a not necessarily complete Dyck word
OUTPUT:
- a list of an odd number of DyckWords.
The concatenation of the result is the original word, the words
with even indices consist of north steps only and the words with
odd indices are complete Dyck paths without touch points.
EXAMPLES::
sage: D = DyckWord([1,1,1,0,1,0,1,1,1,0,0,1,0])
sage: prime_decomposition(D)
[[1, 1], [1, 0], [], [1, 0], [], [1, 1, 0, 0], [], [1, 0], []]
sage: all(DyckWord([e for p in prime_decomposition(D) for e in p]) == D for D in DyckWords(7, 4))
True
"""
n = len(W)
H = DyckWord(W).heights()
result = []
i = 0
h = 0
initial = 0
while i < n:
j = i+1
# find first h
while H[j] != h:
if j == n:
h += 1
i += 1
initial += 1
break
j += 1
else:
# found h
result.extend([[1]*initial, W[i:j]])
i = j
initial = 0
result.append([1]*initial)
return result
def decrease_ldasc_increase_returns(D):
"""Expect that there are no trailing hills, ldasc is greater than one
and the number of returns is not maximal. This is the map `phi`
in arxiv:1701.07009.
"""
p = prime_decomposition(D)
# since D is a Dyck path, there are no connecting up steps
p[-2] = no_return_to_one_return(p[-2])
return DyckWord([e for P in p for e in P])
def increase_ldasc_decrease_returns(D):
"""Expect that there are no trailing hills, ldasc is not maximal and
the number of returns is greater than one. This is the inverse
of the map `phi` in arxiv:1701.07009.
"""
p = prime_decomposition(D)
# since D is a Dyck path, there are no connecting up steps
p[-4] = one_return_to_no_return(p[-4]+p[-2])
p[-2] = []
return DyckWord([e for P in p for e in P])
if len(D) == 0:
return D
elif D[-2:] == [1, 0]:
return DyckWord(mapping(D[:-2]) + [1,0])
D = DyckWord(D)
a = D.number_of_touch_points()
b = ldasc(D)
if a == b:
return D
elif b > a:
for i in range(b-a):
D = decrease_ldasc_increase_returns(D)
return DyckWord(D)
elif a > b:
for i in range(a-b):
D = increase_ldasc_decrease_returns(D)
return DyckWord(D)
Weight
21
Created
Jan 29, 2020 at 13:26 by FindStatCrew
Updated
Jan 29, 2020 at 13:26 by Martin Rubey
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