Identifier
Images
[] => [1,0]
[1,0] => [1,1,0,0]
[1,0,1,0] => [1,1,0,1,0,0]
[1,1,0,0] => [1,1,1,0,0,0]
[1,0,1,0,1,0] => [1,1,0,1,0,1,0,0]
[1,0,1,1,0,0] => [1,1,0,1,1,0,0,0]
[1,1,0,0,1,0] => [1,1,1,0,0,1,0,0]
[1,1,0,1,0,0] => [1,1,1,0,1,0,0,0]
[1,1,1,0,0,0] => [1,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
[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]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
>>> Load all 6550 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0]
[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]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0]
[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]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0] => [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] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[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]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[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]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[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]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]
[1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [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]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [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]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [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]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [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]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [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]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [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]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [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]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [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]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [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]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [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]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [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]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [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]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [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]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [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]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [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]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [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]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [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]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [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]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [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]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [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]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [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]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [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]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [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]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [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]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [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]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [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]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [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]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [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]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [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]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [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]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [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]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [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]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [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]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [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]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [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]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [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]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [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]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [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]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [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]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [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]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [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]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0] => [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]
[1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0]
[1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0]
[1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0,0]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,0]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0]
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Commutation relations
Mp00028reverse ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00028reverse : Dyck paths ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00199prime Dyck path ∘ Mp00199prime Dyck path ∘ Mp00228reflect parallelogram polyomino = Mp00228reflect parallelogram polyomino ∘ Mp00199prime Dyck path ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00099bounce path ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = Mp00143inverse promotion ∘ Mp00199prime Dyck path ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
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
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = Mp00143inverse promotion ∘ Mp00199prime Dyck path ∘ Mp00124Adin-Bagno-Roichman transformation : Dyck paths ⟶ Dyck paths
Mp00099bounce path ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00142promotion ∘ Mp00199prime Dyck path ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00101decomposition reverse ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Dyck paths
Mp00099bounce path ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path = Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00296Knuth-Krattenthaler ∘ Mp00101decomposition reverse ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00296Knuth-Krattenthaler ∘ Mp00101decomposition reverse : Dyck paths ⟶ Dyck paths
Mp00327inverse Kreweras complement ∘ Mp00101decomposition reverse ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00327inverse Kreweras complement ∘ Mp00101decomposition reverse : Dyck paths ⟶ Dyck paths
Mp00296Knuth-Krattenthaler ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00296Knuth-Krattenthaler ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Dyck paths
Mp00327inverse Kreweras complement ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00327inverse Kreweras complement ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Dyck paths
Intertwining relations
Mp00066inverse ∘ Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path = Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path ∘ Mp00028reverse : Dyck paths ⟶ Permutations
Mp00066inverse ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path ∘ Mp00028reverse : Dyck paths ⟶ Permutations
Mp00229Delest-Viennot ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00229Delest-Viennot : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00227Delest-Viennot-inverse ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00227Delest-Viennot-inverse : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution : Dyck paths ⟶ Dyck paths
Mp00229Delest-Viennot ∘ Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00229Delest-Viennot ∘ Mp00120Lalanne-Kreweras involution : Dyck paths ⟶ Dyck paths
Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution = Mp00120Lalanne-Kreweras involution ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00199prime Dyck path ∘ Mp00227Delest-Viennot-inverse = Mp00227Delest-Viennot-inverse ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00048left-right symmetry ∘ Mp00026to ordered tree ∘ Mp00199prime Dyck path = Mp00026to ordered tree ∘ Mp00199prime Dyck path ∘ Mp00028reverse : Dyck paths ⟶ Ordered trees
Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution = Mp00066inverse ∘ Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00199prime Dyck path : Dyck paths ⟶ Permutations
Mp00227Delest-Viennot-inverse ∘ Mp00199prime Dyck path ∘ Mp00228reflect parallelogram polyomino = Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path ∘ Mp00227Delest-Viennot-inverse : Dyck paths ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path ∘ Mp00124Adin-Bagno-Roichman transformation : Dyck paths ⟶ Dyck paths
Mp00143inverse promotion ∘ Mp00199prime Dyck path ∘ Mp00229Delest-Viennot = Mp00229Delest-Viennot ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path = Mp00143inverse promotion ∘ Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution : Dyck paths ⟶ Dyck paths
Mp00143inverse promotion ∘ Mp00199prime Dyck path ∘ Mp00030zeta map = Mp00030zeta map ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00142promotion ∘ Mp00199prime Dyck path ∘ Mp00101decomposition reverse = Mp00101decomposition reverse ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00032inverse zeta map ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path = Mp00142promotion ∘ Mp00199prime Dyck path ∘ Mp00032inverse zeta map : Dyck paths ⟶ Dyck paths
Mp00142promotion ∘ Mp00199prime Dyck path ∘ Mp00122Elizalde-Deutsch bijection = Mp00122Elizalde-Deutsch bijection ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00228reflect parallelogram polyomino ∘ Mp00199prime Dyck path ∘ Mp00229Delest-Viennot = Mp00229Delest-Viennot ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00030zeta map ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path ∘ Mp00030zeta map : Dyck paths ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path ∘ Mp00227Delest-Viennot-inverse = Mp00227Delest-Viennot-inverse ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path ∘ Mp00222peaks-to-valleys = Mp00222peaks-to-valleys ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution : Dyck paths ⟶ Dyck paths
Mp00143inverse promotion ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Dyck paths
Mp00143inverse promotion ∘ Mp00101decomposition reverse ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00101decomposition reverse : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00101decomposition reverse : Dyck paths ⟶ Dyck paths
Mp00032inverse zeta map ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00032inverse zeta map : Dyck paths ⟶ Dyck paths
Mp00142promotion ∘ Mp00030zeta map ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00030zeta map : Dyck paths ⟶ Dyck paths
Mp00102rise composition ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00178to composition ∘ Mp00094to binary word ∘ Mp00102rise composition : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00178to composition ∘ Mp00094to binary word ∘ Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00296Knuth-Krattenthaler ∘ Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution = Mp00028reverse ∘ Mp00296Knuth-Krattenthaler ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path ∘ Mp00327inverse Kreweras complement = Mp00327inverse Kreweras complement ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00142promotion ∘ Mp00229Delest-Viennot ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00229Delest-Viennot : Dyck paths ⟶ Dyck paths
Mp00327inverse Kreweras complement ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00327inverse Kreweras complement : Dyck paths ⟶ Dyck paths
Mp00296Knuth-Krattenthaler ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00199prime Dyck path ∘ Mp00296Knuth-Krattenthaler : Dyck paths ⟶ Dyck paths
Mp00203cone ∘ Mp00160graph of inversions ∘ Mp00023to non-crossing permutation = Mp00160graph of inversions ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path : Dyck paths ⟶ Graphs
Mp00142promotion ∘ Mp00199prime Dyck path ∘ Mp00231bounce path = Mp00231bounce path ∘ Mp00178to composition ∘ Mp00094to binary word : Integer compositions ⟶ Dyck paths
Absorbing relations
Mp00027to partition ∘ Mp00199prime Dyck path = Mp00027to partition : Dyck paths ⟶ Integer partitions
Mp00223runsort ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path : Dyck paths ⟶ Permutations
Mp00222peaks-to-valleys ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path ∘ Mp00199prime Dyck path = Mp00099bounce path ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00227Delest-Viennot-inverse ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path ∘ Mp00199prime Dyck path = Mp00099bounce path ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Constant maps
Mp00100touch composition ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00068Simion-Schmidt map ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00114connectivity set ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00007to Dyck path ∘ Mp00005transpose ∘ Mp00035to alternating sign matrix ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Dyck paths
Mp00114connectivity set ∘ Mp00064reverse ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00127left-to-right-maxima to Dyck path ∘ Mp00066inverse ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Dyck paths
Mp00127left-to-right-maxima to Dyck path ∘ Mp00069complement ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Dyck paths
Mp00114connectivity set ∘ Mp00069complement ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00068Simion-Schmidt map ∘ Mp00064reverse ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00100touch composition ∘ Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00118swap returns and last descent ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00142promotion ∘ Mp00118swap returns and last descent ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00132switch returns and last double rise ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00118swap returns and last descent ∘ Mp00030zeta map ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00032inverse zeta map ∘ Mp00118swap returns and last descent ∘ 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
Mp00068Simion-Schmidt map ∘ Mp00086first fundamental transformation ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00068Simion-Schmidt map ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00068Simion-Schmidt map ∘ Mp00087inverse first fundamental transformation ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00068Simion-Schmidt map ∘ Mp00023to non-crossing permutation ∘ Mp00101decomposition reverse ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00068Simion-Schmidt map ∘ Mp00031to 312-avoiding permutation ∘ Mp00101decomposition reverse ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00068Simion-Schmidt map ∘ Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00101decomposition reverse ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00068Simion-Schmidt map ∘ Mp00088Kreweras complement ∘ Mp00031to 312-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00068Simion-Schmidt map ∘ Mp00088Kreweras complement ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Permutations
Mp00114connectivity set ∘ Mp00089Inverse Kreweras complement ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00127left-to-right-maxima to Dyck path ∘ Mp00025to 132-avoiding permutation ∘ Mp00030zeta map ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Dyck paths
Mp00114connectivity set ∘ Mp00025to 132-avoiding permutation ∘ Mp00030zeta map ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00127left-to-right-maxima to Dyck path ∘ Mp00025to 132-avoiding permutation ∘ Mp00118swap returns and last descent ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Dyck paths
Mp00114connectivity set ∘ Mp00025to 132-avoiding permutation ∘ Mp00118swap returns and last descent ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00114connectivity set ∘ Mp00088Kreweras complement ∘ Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00114connectivity set ∘ Mp00089Inverse Kreweras complement ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00114connectivity set ∘ Mp00025to 132-avoiding permutation ∘ Mp00101decomposition reverse ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Mp00114connectivity set ∘ Mp00067Foata bijection ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Binary words
Other relations
Mp00069complement ∘ Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path = Mp00031to 312-avoiding permutation ∘ Mp00199prime Dyck path ∘ Mp00028reverse : Dyck paths ⟶ Permutations
Mp00127left-to-right-maxima to Dyck path ∘ Mp00066inverse ∘ Mp00201Ringel = Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00227Delest-Viennot-inverse ∘ Mp00199prime Dyck path ∘ Mp00229Delest-Viennot = Mp00120Lalanne-Kreweras involution ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00229Delest-Viennot ∘ Mp00199prime Dyck path ∘ Mp00227Delest-Viennot-inverse = Mp00228reflect parallelogram polyomino ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00101decomposition reverse ∘ Mp00199prime Dyck path ∘ Mp00101decomposition reverse = Mp00142promotion ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00120Lalanne-Kreweras involution ∘ Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution = Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00030zeta map ∘ Mp00199prime Dyck path ∘ Mp00032inverse zeta map = Mp00143inverse promotion ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00025to 132-avoiding permutation ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00149Lehmer code rotation ∘ Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path : Dyck paths ⟶ Permutations
Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00199prime Dyck path ∘ Mp00099bounce path = Mp00066inverse ∘ Mp00201Ringel ∘ Mp00099bounce path : Dyck paths ⟶ Permutations
Mp00031to 312-avoiding permutation ∘ Mp00199prime Dyck path ∘ Mp00099bounce path = Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path ∘ Mp00099bounce path : Dyck paths ⟶ Permutations
Mp00204LLPS ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = Mp00110Greene-Kleitman invariant ∘ Mp00047to poset ∘ Mp00026to ordered tree : Dyck paths ⟶ Integer partitions
Mp00229Delest-Viennot ∘ Mp00099bounce path ∘ Mp00199prime Dyck path = Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path ∘ Mp00199prime Dyck path : Dyck paths ⟶ Dyck paths
Mp00127left-to-right-maxima to Dyck path ∘ Mp00201Ringel ∘ Mp00099bounce path = Mp00199prime Dyck path ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00102rise composition ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = Mp00102rise composition ∘ Mp00222peaks-to-valleys ∘ Mp00199prime Dyck path : Dyck paths ⟶ Integer compositions
Mp00176rotate decreasing ∘ Mp00138to noncrossing partition ∘ Mp00199prime Dyck path = Mp00138to noncrossing partition ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00199prime Dyck path : Dyck paths ⟶ Set partitions
Mp00034to binary tree: up step, left tree, down step, right tree ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00009left rotate ∘ Mp00034to binary tree: up step, left tree, down step, right tree ∘ Mp00199prime Dyck path : Dyck paths ⟶ Binary trees
Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00143inverse promotion ∘ Mp00199prime Dyck path = Mp00019right rotate ∘ Mp00029to binary tree: left tree, up step, right tree, down step ∘ Mp00199prime Dyck path : Dyck paths ⟶ Binary trees
Mp00065permutation poset ∘ Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path = Mp00047to poset ∘ Mp00026to ordered tree : Dyck paths ⟶ Posets
Mp00160graph of inversions ∘ Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path = Mp00198incomparability graph ∘ Mp00047to poset ∘ Mp00026to ordered tree : Dyck paths ⟶ Graphs
Mp00114connectivity set ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = Mp00094to binary word ∘ Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Binary words
Mp00131descent bottoms ∘ Mp00031to 312-avoiding permutation ∘ Mp00199prime Dyck path = Mp00094to binary word ∘ Mp00039complement ∘ Mp00102rise composition : Dyck paths ⟶ Binary words
Mp00130descent tops ∘ Mp00236Clarke-Steingrimsson-Zeng inverse ∘ Mp00201Ringel = Mp00109descent word ∘ Mp00031to 312-avoiding permutation ∘ Mp00199prime Dyck path : Dyck paths ⟶ Binary words
Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path ∘ Mp00296Knuth-Krattenthaler = Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00142promotion ∘ Mp00199prime Dyck path : Dyck paths ⟶ Permutations
Mp00252restriction ∘ Mp00025to 132-avoiding permutation ∘ Mp00199prime Dyck path = Mp00025to 132-avoiding permutation : Dyck paths ⟶ Permutations
Mp00202first row removal ∘ Mp00027to partition ∘ Mp00030zeta map ∘ Mp00199prime Dyck path = Mp00027to partition ∘ Mp00030zeta map : Dyck paths ⟶ Integer partitions
Mp00127left-to-right-maxima to Dyck path ∘ Mp00201Ringel ∘ Mp00222peaks-to-valleys ∘ Mp00099bounce path = Mp00199prime Dyck path ∘ Mp00099bounce path : Dyck paths ⟶ Dyck paths
Mp00100touch composition ∘ Mp00327inverse Kreweras complement ∘ Mp00199prime Dyck path = Mp00100touch composition ∘ Mp00118swap returns and last descent ∘ Mp00199prime Dyck path : Dyck paths ⟶ Integer compositions
Mp00240weak exceedance partition ∘ Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00199prime Dyck path = Mp00240weak exceedance partition ∘ Mp00066inverse ∘ Mp00201Ringel : Dyck paths ⟶ Set partitions
Mp00232parallelogram poset ∘ Mp00199prime Dyck path ∘ Mp00229Delest-Viennot = Mp00232parallelogram poset ∘ Mp00229Delest-Viennot ∘ Mp00199prime Dyck path : Dyck paths ⟶ Posets
Mp00114connectivity set ∘ Mp00088Kreweras complement ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = Mp00094to binary word ∘ Mp00100touch composition : Dyck paths ⟶ Binary words
Mp00119to 321-avoiding permutation (Krattenthaler) ∘ Mp00199prime Dyck path ∘ Mp00231bounce path = Mp00201Ringel ∘ Mp00231bounce path ∘ Mp00039complement : Integer compositions ⟶ Permutations
Mp00031to 312-avoiding permutation ∘ Mp00199prime Dyck path ∘ Mp00231bounce path = Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path ∘ Mp00231bounce path : Integer compositions ⟶ Permutations
Mp00127left-to-right-maxima to Dyck path ∘ Mp00201Ringel ∘ Mp00231bounce path = Mp00199prime Dyck path ∘ Mp00231bounce path ∘ Mp00039complement : Integer compositions ⟶ Dyck paths
Mp00043to Dyck path ∘ Mp00040to partition ∘ Mp00319to composition = Mp00142promotion ∘ Mp00199prime Dyck path ∘ Mp00056to Dyck path : Parking functions ⟶ Dyck paths
Description
Return the Dyck path obtained by adding an initial up and a final down step.
Properties
injective, graded
Sage code
def mapping(D):
return DyckWord([1] + list(D) + [0])
Weight
26
Created
Dec 01, 2020 at 09:53 by Martin Rubey
Updated
Sep 13, 2021 at 10:59 by Frédéric Chapoton
searching the database
Sorry, this map was not found in the database.