Identifier
Images
[] => []
[1,0] => [1]
[1,0,1,0] => [1,1]
[1,1,0,0] => [2]
[1,0,1,0,1,0] => [1,1,1]
[1,0,1,1,0,0] => [1,2]
[1,1,0,0,1,0] => [2,1]
[1,1,0,1,0,0] => [3]
[1,1,1,0,0,0] => [3]
[1,0,1,0,1,0,1,0] => [1,1,1,1]
[1,0,1,0,1,1,0,0] => [1,1,2]
[1,0,1,1,0,0,1,0] => [1,2,1]
[1,0,1,1,0,1,0,0] => [1,3]
[1,0,1,1,1,0,0,0] => [1,3]
[1,1,0,0,1,0,1,0] => [2,1,1]
[1,1,0,0,1,1,0,0] => [2,2]
[1,1,0,1,0,0,1,0] => [3,1]
[1,1,0,1,0,1,0,0] => [4]
[1,1,0,1,1,0,0,0] => [4]
[1,1,1,0,0,0,1,0] => [3,1]
[1,1,1,0,0,1,0,0] => [4]
[1,1,1,0,1,0,0,0] => [4]
[1,1,1,1,0,0,0,0] => [4]
[1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1]
[1,0,1,0,1,0,1,1,0,0] => [1,1,1,2]
[1,0,1,0,1,1,0,0,1,0] => [1,1,2,1]
[1,0,1,0,1,1,0,1,0,0] => [1,1,3]
[1,0,1,0,1,1,1,0,0,0] => [1,1,3]
[1,0,1,1,0,0,1,0,1,0] => [1,2,1,1]
[1,0,1,1,0,0,1,1,0,0] => [1,2,2]
[1,0,1,1,0,1,0,0,1,0] => [1,3,1]
[1,0,1,1,0,1,0,1,0,0] => [1,4]
[1,0,1,1,0,1,1,0,0,0] => [1,4]
[1,0,1,1,1,0,0,0,1,0] => [1,3,1]
[1,0,1,1,1,0,0,1,0,0] => [1,4]
[1,0,1,1,1,0,1,0,0,0] => [1,4]
[1,0,1,1,1,1,0,0,0,0] => [1,4]
[1,1,0,0,1,0,1,0,1,0] => [2,1,1,1]
[1,1,0,0,1,0,1,1,0,0] => [2,1,2]
[1,1,0,0,1,1,0,0,1,0] => [2,2,1]
[1,1,0,0,1,1,0,1,0,0] => [2,3]
[1,1,0,0,1,1,1,0,0,0] => [2,3]
[1,1,0,1,0,0,1,0,1,0] => [3,1,1]
[1,1,0,1,0,0,1,1,0,0] => [3,2]
[1,1,0,1,0,1,0,0,1,0] => [4,1]
[1,1,0,1,0,1,0,1,0,0] => [5]
[1,1,0,1,0,1,1,0,0,0] => [5]
[1,1,0,1,1,0,0,0,1,0] => [4,1]
[1,1,0,1,1,0,0,1,0,0] => [5]
[1,1,0,1,1,0,1,0,0,0] => [5]
[1,1,0,1,1,1,0,0,0,0] => [5]
[1,1,1,0,0,0,1,0,1,0] => [3,1,1]
[1,1,1,0,0,0,1,1,0,0] => [3,2]
[1,1,1,0,0,1,0,0,1,0] => [4,1]
[1,1,1,0,0,1,0,1,0,0] => [5]
[1,1,1,0,0,1,1,0,0,0] => [5]
[1,1,1,0,1,0,0,0,1,0] => [4,1]
[1,1,1,0,1,0,0,1,0,0] => [5]
[1,1,1,0,1,0,1,0,0,0] => [5]
[1,1,1,0,1,1,0,0,0,0] => [5]
[1,1,1,1,0,0,0,0,1,0] => [4,1]
[1,1,1,1,0,0,0,1,0,0] => [5]
[1,1,1,1,0,0,1,0,0,0] => [5]
[1,1,1,1,0,1,0,0,0,0] => [5]
[1,1,1,1,1,0,0,0,0,0] => [5]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,2]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,3]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,3]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,2,1,1]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,2]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,3,1]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,4]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,4]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,3,1]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,4]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,4]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,4]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,1,1]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,1,2]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,1]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,1,1]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,2]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,4,1]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,5]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,5]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,5]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,5]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,5]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,3,1,1]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,1]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,5]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,5]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,1]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,5]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,5]
>>> Load all 5686 entries. <<<
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,5]
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,4,1]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,5]
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1]
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,1,2]
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,2,1]
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3]
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3]
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,1,1]
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2]
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1]
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,4]
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,4]
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1]
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,4]
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,4]
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,4]
[1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,1,1]
[1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,2]
[1,1,0,1,0,0,1,1,0,0,1,0] => [3,2,1]
[1,1,0,1,0,0,1,1,0,1,0,0] => [3,3]
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,3]
[1,1,0,1,0,1,0,0,1,0,1,0] => [4,1,1]
[1,1,0,1,0,1,0,0,1,1,0,0] => [4,2]
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,1]
[1,1,0,1,0,1,0,1,0,1,0,0] => [6]
[1,1,0,1,0,1,0,1,1,0,0,0] => [6]
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,1]
[1,1,0,1,0,1,1,0,0,1,0,0] => [6]
[1,1,0,1,0,1,1,0,1,0,0,0] => [6]
[1,1,0,1,0,1,1,1,0,0,0,0] => [6]
[1,1,0,1,1,0,0,0,1,0,1,0] => [4,1,1]
[1,1,0,1,1,0,0,0,1,1,0,0] => [4,2]
[1,1,0,1,1,0,0,1,0,0,1,0] => [5,1]
[1,1,0,1,1,0,0,1,0,1,0,0] => [6]
[1,1,0,1,1,0,0,1,1,0,0,0] => [6]
[1,1,0,1,1,0,1,0,0,0,1,0] => [5,1]
[1,1,0,1,1,0,1,0,0,1,0,0] => [6]
[1,1,0,1,1,0,1,0,1,0,0,0] => [6]
[1,1,0,1,1,0,1,1,0,0,0,0] => [6]
[1,1,0,1,1,1,0,0,0,0,1,0] => [5,1]
[1,1,0,1,1,1,0,0,0,1,0,0] => [6]
[1,1,0,1,1,1,0,0,1,0,0,0] => [6]
[1,1,0,1,1,1,0,1,0,0,0,0] => [6]
[1,1,0,1,1,1,1,0,0,0,0,0] => [6]
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,1,1,1]
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2]
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1]
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,3]
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,3]
[1,1,1,0,0,1,0,0,1,0,1,0] => [4,1,1]
[1,1,1,0,0,1,0,0,1,1,0,0] => [4,2]
[1,1,1,0,0,1,0,1,0,0,1,0] => [5,1]
[1,1,1,0,0,1,0,1,0,1,0,0] => [6]
[1,1,1,0,0,1,0,1,1,0,0,0] => [6]
[1,1,1,0,0,1,1,0,0,0,1,0] => [5,1]
[1,1,1,0,0,1,1,0,0,1,0,0] => [6]
[1,1,1,0,0,1,1,0,1,0,0,0] => [6]
[1,1,1,0,0,1,1,1,0,0,0,0] => [6]
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,1]
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,2]
[1,1,1,0,1,0,0,1,0,0,1,0] => [5,1]
[1,1,1,0,1,0,0,1,0,1,0,0] => [6]
[1,1,1,0,1,0,0,1,1,0,0,0] => [6]
[1,1,1,0,1,0,1,0,0,0,1,0] => [5,1]
[1,1,1,0,1,0,1,0,0,1,0,0] => [6]
[1,1,1,0,1,0,1,0,1,0,0,0] => [6]
[1,1,1,0,1,0,1,1,0,0,0,0] => [6]
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,1]
[1,1,1,0,1,1,0,0,0,1,0,0] => [6]
[1,1,1,0,1,1,0,0,1,0,0,0] => [6]
[1,1,1,0,1,1,0,1,0,0,0,0] => [6]
[1,1,1,0,1,1,1,0,0,0,0,0] => [6]
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,1,1]
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,2]
[1,1,1,1,0,0,0,1,0,0,1,0] => [5,1]
[1,1,1,1,0,0,0,1,0,1,0,0] => [6]
[1,1,1,1,0,0,0,1,1,0,0,0] => [6]
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,1]
[1,1,1,1,0,0,1,0,0,1,0,0] => [6]
[1,1,1,1,0,0,1,0,1,0,0,0] => [6]
[1,1,1,1,0,0,1,1,0,0,0,0] => [6]
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1]
[1,1,1,1,0,1,0,0,0,1,0,0] => [6]
[1,1,1,1,0,1,0,0,1,0,0,0] => [6]
[1,1,1,1,0,1,0,1,0,0,0,0] => [6]
[1,1,1,1,0,1,1,0,0,0,0,0] => [6]
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,1]
[1,1,1,1,1,0,0,0,0,1,0,0] => [6]
[1,1,1,1,1,0,0,0,1,0,0,0] => [6]
[1,1,1,1,1,0,0,1,0,0,0,0] => [6]
[1,1,1,1,1,0,1,0,0,0,0,0] => [6]
[1,1,1,1,1,1,0,0,0,0,0,0] => [6]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,2]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,2,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,3]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,2,1,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,3,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,3,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,4]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,4]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,1,1,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,2,1,2]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,2,3]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,3]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,3,1,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,3,2]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,3,1,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,3,2]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,4,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,5]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,5]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,1,1,2]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,1,2,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,1,3]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,3]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,1,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,3,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,3,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,1,1,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,1,2]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,2,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,3]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,3]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,6]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,6]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,6]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,6]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,6]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,6]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,6]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,6]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,6]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,6]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,6]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,6]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,6]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,3,1,1,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,3,1,2]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,3,2,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,3,3]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,6]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,6]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,6]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,6]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,6]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,6]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,6]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,6]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,6]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,6]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,6]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,6]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,6]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,4,1,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,4,2]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,6]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,6]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,6]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,6]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,6]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,6]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,6]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,6]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,5,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,6]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,2]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,2,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,3]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,3]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,2,1,1]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,2,2]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,1]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,4]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,1,1,1]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,3]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,3]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,3,1,1]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,3,2]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,5]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,5]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,5]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,1]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,5]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,5]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,5]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,5]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,5]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,4,1]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,5]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,5]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,5]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,5]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,3]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,3]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,3,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,4]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,4]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,3,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,4]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,4]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,4]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [4,3]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [4,3]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [5,2]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [6,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [7]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [6,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [7]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [7]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [7]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [5,2]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [6,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [7]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [7]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [6,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [7]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [7]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [7]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [6,1]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [7]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [7]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [7]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [4,3]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [4,3]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [5,2]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [6,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [7]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [6,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [7]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [7]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [7]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [5,2]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [6,1]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [7]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [7]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [6,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [7]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [7]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [7]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [6,1]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [7]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [7]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [7]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [5,2]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [6,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [7]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [7]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [6,1]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [7]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [7]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [7]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [6,1]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [7]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [7]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [7]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [7]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [6,1]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [7]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [7]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [7]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [7]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [7]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,1,1,2]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,1,2,1]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,1,3]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,1,3]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,2]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,3,1]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,4]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,4]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,3,1]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,4]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,4]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [4,3]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [4,3]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [5,2]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [6,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [7]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [7]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [6,1]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [7]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [7]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [7]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [5,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [6,1]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [7]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [7]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [6,1]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [7]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [7]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [7]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [6,1]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [7]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [7]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [7]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [7]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,3]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,3]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [5,2]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [6,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [7]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [7]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [6,1]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [7]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [7]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [7]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [5,2]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [6,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [7]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [7]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [6,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [7]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,1]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [7]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [7]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [7]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [7]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [5,2]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [6,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [7]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [7]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,1]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [7]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [7]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [7]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [7]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [7]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [7]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [7]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,1]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [7]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [7]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,1,1,1]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,1,2]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,2,1]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,2]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [6,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [7]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [7]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [6,1]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [7]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [7]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [5,2]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,1]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [7]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [7]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [6,1]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [7]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,1]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [7]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [7]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [7]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [7]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,2]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [6,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [7]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,1]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [7]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [7]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [7]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [7]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [7]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [7]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [7]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [7]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [7]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [7]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,1,1]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,2]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [7]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,1]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [7]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [7]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [7]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [7]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [7]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [7]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [7]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [7]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [7]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [7]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [7]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [7]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [7]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [7]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,2]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,2,1,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,4]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,2,1,2]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,2,3]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,2,3]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,3,1,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,3,2]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,3,1,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,3,2]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,4,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,5]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,2]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,2,1,2,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,2,1,3]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,2,1,3]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,2,2,1,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,2,3,1]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,2,3,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,2,4]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,3,1,2]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,3,2,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,3,3]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,3,3]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,3,1,1,1]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,3,1,2]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,3,2,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,3,3]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,3,3]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,4,1,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,4,2]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,5,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,6]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,6]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,2]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,2,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,3]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,3]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,2,1,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,2,1,2,2]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,3,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,2,1,3,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,2,1,4]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,1,1,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,2,2,1,2]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,3]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,3]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,1,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,2,3,2]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,2,3,1,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,2,3,2]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,2,4,1]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,2,5]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,2,5]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,3,4]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,3,1,1,2]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,3,1,2,1]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,3,1,3]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,3,1,3]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,3,2,1,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,3,3,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,3,3,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,3,4]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,3,4]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,4,1,1,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,4,1,2]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,4,2,1]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,4,3]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,4,3]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,5,1,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,5,2]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,6,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,7]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,2]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,2,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,3]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,3]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,2,1,1]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,2,2]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,3,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,3,1]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,4]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,2,1,1,1]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,2,1,2]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,2,2,1]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,2,3]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,2,3]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,1,3,1,1]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,3,2]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,1,1]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,2]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,1]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,5]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,5]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,2,1,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,1,2,1]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,2,1,3]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,2,1,3]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,1,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,3,1]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,3,1]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,4]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,1,1]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,2]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,2,1]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,3]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,3]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,3,1,1,1]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,3,1,2]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,3,2,1]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,3,3]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,3,3]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,4,1,1]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,4,2]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,5,1]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,6]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,6]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,3,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1]
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [3,3,1,1]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [3,3,2]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [3,4,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5]
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [3,4,1]
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1]
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [3,4,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [3,4,1]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [4,1,3]
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [4,1,3]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [4,3,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [4,4]
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [4,4]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [4,3,1]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [4,4]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [4,4]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [5,3]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [5,3]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [6,2]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [7,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [8]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [8]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [8]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [8]
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [8]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [8]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [8]
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [8]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [8]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [8]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [8]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [8]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [8]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [8]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [8]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [8]
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [8]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [8]
[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [8]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [8]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [8]
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [8]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [8]
[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [8]
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [8]
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [8]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [8]
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [8]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [8]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [8]
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [8]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [8]
[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [8]
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [8]
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [8]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [8]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [8]
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [8]
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [8]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [8]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1]
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1]
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3]
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [4,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1]
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [4,4]
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [4,4]
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,4]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,3]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [5,3]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [8]
[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [8]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [8]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [8]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [8]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [8]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [8]
[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [8]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [8]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [8]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [8]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [8]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [8]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8]
[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [8]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [8]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [8]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [8]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [8]
[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [8]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [8]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [8]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [8]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [8]
[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [8]
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [8]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [8]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [8]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [8]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [8]
[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [8]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [8]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [8]
[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [8]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [8]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [8]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [8]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [8]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [8]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [8]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [8]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [8]
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [8]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [8]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [8]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [8]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [8]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [8]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [8]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [8]
[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [8]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [8]
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [8]
[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [8]
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [8]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [8]
[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [8]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [8]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [8]
[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [8]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [8]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [8]
[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [8]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [8]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [8]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [8]
[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [8]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [8]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [7,1]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [8]
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [8]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [8]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [8]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [8]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [8]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [8]
[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [8]
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [8]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [8]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [8]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [8]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [8]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [8]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [8]
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [8]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [8]
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [8]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [8]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [8]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,2]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,2,1]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,3]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [3,1,2,1,1]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [3,1,2,2]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [3,1,3,1]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,1,4]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [3,1,4]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,1,3,1]
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [3,1,4]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,1,4]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,1,4]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,1,1]
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [3,2,1,2]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,3]
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,3]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,3,1,1]
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [3,3,2]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,4,1]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,5]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,4,1]
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [3,5]
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [3,3,1,1]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [3,3,2]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [3,4,1]
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [3,4,1]
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,1]
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [3,5]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,5]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1]
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1]
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [4,1,3]
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [4,1,3]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [4,3,1]
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [4,4]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [4,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [4,3,1]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,4]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [4,4]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [8]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [8]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [8]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [8]
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [8]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [8]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [8]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [8]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [8]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [8]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [8]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [8]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [8]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [8]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [8]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [8]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [8]
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [8]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [8]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [8]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [8]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [8]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [8]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [8]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [8]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [8]
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [8]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [8]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [8]
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [8]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [8]
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [8]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [8]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [8]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [8]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [8]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [8]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [8]
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [8]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [8]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [8]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [8]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1]
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1]
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,4]
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1]
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [4,4]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,4]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,4]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [8]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [8]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [8]
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [8]
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [8]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [8]
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [8]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [8]
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [8]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [8]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [8]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [8]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [8]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [8]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [8]
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [8]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [8]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [8]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [8]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [8]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [8]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [8]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [8]
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [8]
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [8]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [8]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [8]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [8]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [8]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [8]
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [8]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [8]
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [8]
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [8]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [8]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [8]
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [8]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [8]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [8]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [8]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [8]
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [8]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [8]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [8]
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [8]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [8]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [8]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [8]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [8]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [8]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [8]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [8]
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [8]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [8]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [8]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [8]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [8]
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [8]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [8]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [8]
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [8]
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [8]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [8]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [8]
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [8]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [8]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [8]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [8]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [8]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [8]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [8]
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [8]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [8]
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [8]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [8]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [8]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [8]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [8]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [8]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [8]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [7,1]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [8]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [8]
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [8]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [8]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [8]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [8]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,1,1,2]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,1,2,1]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,1,3]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [4,1,3]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,2,1,1]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,2,2]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,3,1]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,4]
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [4,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,1]
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [4,4]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,4]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,4]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [8]
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [8]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [8]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [8]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [8]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [8]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [8]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [8]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [8]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [8]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [8]
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [8]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [8]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [8]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [8]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [8]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [8]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [8]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [8]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [8]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [8]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [8]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [8]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [8]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [8]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [8]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [8]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [8]
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [8]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [8]
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [8]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [8]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [8]
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [8]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [8]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [8]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [8]
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [8]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [8]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [8]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [8]
[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [8]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [8]
[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [8]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [8]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [8]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [8]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [8]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [8]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [8]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [8]
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [8]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [8]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [8]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [8]
[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [8]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [8]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [8]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [8]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [8]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [8]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [8]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [8]
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [8]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [8]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [8]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [8]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [8]
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [8]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [8]
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [8]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [8]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [8]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [8]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [8]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [8]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [8]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [8]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [8]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [8]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [8]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [8]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [8]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [8]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [8]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [8]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,1,1,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,1,2]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,2,1]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,3]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,3]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [6,2]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [8]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [8]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [8]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [8]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [8]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [8]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [8]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [8]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [8]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [8]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [8]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [8]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [8]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [8]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [8]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [8]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [8]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [8]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [8]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [8]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [8]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [8]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [8]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [8]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [8]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [8]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [8]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [8]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [8]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [8]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [8]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [8]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [8]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [8]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [8]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [8]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [8]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [8]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [8]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [8]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [8]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [8]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [8]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [8]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [8]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [8]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [8]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,1,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,2]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [8]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [8]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [8]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [8]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [8]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [8]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [8]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [8]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [8]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [8]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [8]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [8]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [8]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [8]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [8]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [8]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [8]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [8]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [8]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [8]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [8]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [8]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [8]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,8]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [7,2]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,7]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [8,1]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,7,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [7,2]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,7]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,8]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,7]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,7,1]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0] => [7,2]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [7,2]
[1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2,7]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,7]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,7]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,7,1]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,7,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0] => [7,2]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [7,2]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,2]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,8]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,7]
[1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,7]
[1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,7]
[1,0,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,7]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [9]
[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [9]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [9]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [9]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [9]
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [9]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [9]
[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [9]
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [9]
[1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [9]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [9]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [9]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [9]
[1,1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [9]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [9]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [9]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [9]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [9]
[1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [9]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [9]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [9]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [9]
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [9]
[1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [9]
[1,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [9]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [9]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [9]
[1,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [9]
[1,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [9]
[1,1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [9]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [9]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [9]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [9]
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [9]
[1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [9]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [9]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [9]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [9]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [9]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [9]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [9]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [9]
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [9]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [9]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [9]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [9]
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [9]
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [9]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [9]
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [9]
[1,1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [9]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [9]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [9]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [9]
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [9]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [9]
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [9]
[1,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [9]
[1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [9]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [9]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [9]
[1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [9]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [9]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [9]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [9]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [9]
[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [9]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [9]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [9]
[1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [9]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [9]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [9]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [9]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [9]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [9]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [9]
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [9]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [9]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [9]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [9]
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,0] => [9]
[1,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,0] => [9]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [9]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,0] => [9]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0] => [9]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0] => [9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0] => [9]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [9]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,0] => [9]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [9]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [9]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0,0] => [9]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [9]
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0] => [9]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [9]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [9]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [9]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,0] => [9]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [9]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [9]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [9]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0,0] => [9]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [9]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [9]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [9]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [9]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [9]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [9]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,6]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,7]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,6]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,7]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,8]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,4]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,6]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,5]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,7]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,6]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,8]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,5]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,6]
[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,5]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,7]
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,5]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,8]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,7]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,6]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,7]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,8]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,6]
[1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,6]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,5]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,8]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,7]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,7]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,7]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,7]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,8]
[1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,7]
[1,0,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,6]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,8]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,8]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,7]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [1,8]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,8]
[1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,8]
[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,6]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,7]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,6]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,8]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,8]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,8]
[1,0,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,7]
[1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,7]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,2,1,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,2,2]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,2,1,1,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,1,2,1,2]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,2,2,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,1,2,3]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,3,1,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,3,2]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,4,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,2,1,2,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,2,2,1,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,2,2,2]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,2,4]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,3,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,3,3]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,5,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,2,1,1,1,2]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,2,1,1,2,1]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,2,1,1,3]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,2,1,2,2]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,2,2,2,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,2,2,3]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,2,3,2]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,2,4,1]
[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,2,5]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,3,2,2]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,4,3]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,5,1,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,5,2]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,6,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,2]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,3]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,1,1,2,1,1]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,1,2,1,1,1]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,1,5]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,2,1,1,2]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,2,2,1,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,2,2,3,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,2,4]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,3,1,1,1]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,3,3]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,5,1]
[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,6]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,2,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,3,1,1]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,3,2]
[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,5]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,4,1,3]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,4,2,1,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,4,4]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,5,3]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,6,1,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,6,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,3]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,1,2,1,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,1,1,2,2]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,1,3,1]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,4]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,1,2,1,1,1]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,1,2,3]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,1,4,1]
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,5]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,2,2,2]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,3]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,5,1]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,6]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,2,1,1,1,2]
[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,2,1,4]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,2,2,1,1,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,2,2,1,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,2,2,2,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,2,2,3]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,2,3,1,1]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,2,3,2]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,5]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [2,3,3,1]
[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [2,3,4]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [2,4,1,1,1]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [2,4,3]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [2,5,1,1]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [2,5,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,6,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,2,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [3,1,1,1,3]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [3,1,2,1,2]
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1]
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,4,1]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [3,3,1,1,1]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [3,4,2]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,5,1]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,6]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] => [4,1,1,3]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [4,1,3,1]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [4,1,4]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] => [4,2,1,1,1]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] => [4,2,3]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] => [4,3,1,1]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,3,2]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [5,1,2,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] => [5,1,3]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [8,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,1,3]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,3]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [7,2]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [2,7]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [3,6]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,8]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,8]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,2]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,7]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [6,3]
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,4]
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [4,5]
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,6]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [2,7]
[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [7,2]
[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [3,6]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [4,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [6,3]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [5,4]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,6]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,2,1,4]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0] => [7,2]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [2,7]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,4,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,3,1,1]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,5]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,1,3,2]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [4,2,1,1,1]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [8,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [7,2]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [3,2,2,2]
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [5,4]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [3,4,2]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,4,2,2]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [4,1,4]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [8,1]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [8,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,2,1]
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,7]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,6]
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,4]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,6]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [4,5]
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0] => [5,4]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [4,1,2,1,1]
[1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,6]
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [3,6]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,1,0] => [4,4,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [6,3]
[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,8]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0] => [5,1,1,2]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,4,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,8]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,5,1,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,7]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [3,6]
[1,0,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,8]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,7]
[1,0,1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,6]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1]
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [5,4]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,3,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,6]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [6,1,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,6,2]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,7]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,7]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,6,2]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [2,6,1]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,1,1,1]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,2,4,1]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [3,6]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [2,6,1]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [2,7]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,7,1]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,3,4]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,5,3]
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,3,4]
[1,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,7]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,6,1]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [8,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [5,3,1]
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,7,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,6]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,3,1]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,3,1]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,3,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,5]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [6,3]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0] => [6,1,2]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,0] => [4,1,1,3]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [8,1]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [4,1,1,2,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,5,1,1]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,6]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,1,5]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,1,1,4]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,3]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,2,3,1,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1]
[1,1,1,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [5,4]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [3,6]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,1,5]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,6]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,7]
[1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,8]
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [7,2]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [7,1,1]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,1,4,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,4]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,4,1,1,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,4,1,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [3,1,2,1,1,1]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,1,6]
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [3,1,5]
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,1,0,0] => [4,1,4]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [4,5]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,5]
[1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,7]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,6]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [2,5,1,1]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,2,4,1]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [7,1,1]
[1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,8]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,1,1,1]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [3,3,1,1,1]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,3,1,1,1]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0] => [8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,5,1,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,6,1]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,4,1,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,5,1]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,6,1,1]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,4,1,1]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,7,1]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0] => [6,3]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,8]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,8]
[1,0,1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,7]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [3,1,5]
[1,1,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,5]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [3,6]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,5,1,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [8,1]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,4,2,2]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,1,1,5]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [8,1]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,5,1]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,7,1]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,7,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,2]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [5,1,2,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [4,1,3,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [3,1,4,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,5,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,6,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [4,1,1,3]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [3,1,1,4]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [3,1,5]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,1]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1,0] => [8,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,4,1]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,4,1,1]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,5,1]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0] => [5,4]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0] => [5,4]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,8]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [8,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [2,7]
[1,1,0,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4]
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [8,1]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [3,3,3]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,6,1]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,2,2,4]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,2,6]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,8]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,7]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,2,5]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,2,6]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,8]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,7]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [4,5]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,3]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [5,1,3]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [3,1,1,1,3]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,8]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,2,5]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,1,1,4]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,1,5]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,6]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,2,5]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,2,4]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,1,2,3]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,5,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,4,2,1]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,2,4,1,1]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,1,5]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,6,1,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [5,4]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,6]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [3,6]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,8]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,8]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,4,1,2]
[1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [5,4]
[1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,5]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [8,1]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,8]
[1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,6,2]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [2,7]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,6,1]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,6,1,1]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [7,2]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,7]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,1,5]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,2,4,2]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,4,2]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,4,2]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,5,2]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,5,2]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,5,2]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,5,2]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,7,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,6,1]
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [8,1]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,1,3,1]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,2,1,3,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,1,1,2,1]
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [3,6]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,5,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [2,4,3]
[1,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,4]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,4,3]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,6,2]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,5,3]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,4,4]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [4,5]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [4,4,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,5,1]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [5,3,1]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [4,4,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [3,5,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,6,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,7,1]
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [4,4,1]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [3,5,1]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [2,6,1]
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [3,5,1]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,7,1]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,6,1]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,7,1]
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [8,1]
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [8,1]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,8]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,8]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [7,2]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,7]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,7,1]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,1,0,0] => [4,5]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [8,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [8,1]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,5,1]
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1]
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [4,4,1]
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,4,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,1]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,5,2,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [5,4]
[1,0,1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,8]
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [3,1,5]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,1,1,4]
[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,8]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,8]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,5,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,2,1]
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [8,1]
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [8,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,6,1]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [4,4,1]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,7]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [7,2]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [7,1,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,2,6]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,8]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,2,5]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,8]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [7,1,1]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,0,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,8]
[1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,6]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,8]
[1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,8]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,8]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,8]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [2,6,1]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,6,2]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [8,1]
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [8,1]
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0] => [8,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,8]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,1,5]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [2,6,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,6,2]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,7,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,5,2,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,2,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,6,2]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,8]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,5,3]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,4,1]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,4,2,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,8]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,8]
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [8,1]
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [8,1]
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,1,0] => [8,1]
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [8,1]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,2,4,2]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,5,1,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,3,1,1,2]
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [8,1]
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [8,1]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,1,0] => [6,1,1,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [8,1]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [7,2]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [2,7]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,7]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [8,1]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [8,1]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,6,2]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,4,4]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,4]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,4]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [8,1]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [6,3]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [4,5]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [2,7]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,8]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,6]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [5,4]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [7,2]
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [4,5]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [2,7]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,8]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,6]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [7,2]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [8,1]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [4,4,1]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,8]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,8]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,1]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,1,1,1,4]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,8]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,6,2]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,4,2,2]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0] => [7,2]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [7,2]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [3,1,2,2,1]
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [3,6]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [5,4]
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [3,1,1,4]
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0] => [4,1,4]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [7,2]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [6,3]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,8]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,8]
[1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,7]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,7]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,7]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,1]
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [6,3]
[1,1,0,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [7,2]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [7,2]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,7]
[1,1,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,7]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [2,7]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,7]
[1,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,7]
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [4,5]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,2,1,3]
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0] => [6,2,1]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0] => [7,1,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,8]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,8]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,6,1]
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [8,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [5,2,2]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,6,1,1]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,5,1,1,1]
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [5,3,1]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,3]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [7,1,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,6,1]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [4,3,2]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,3,1]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,7]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,5,3]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,5,3]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,5,1]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [4,5]
[1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0] => [5,4]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0] => [6,3]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [8,1]
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [8,1]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,7,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [5,2,1,1]
[1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0] => [4,5]
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [6,3]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [7,2]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,7]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,2,1,1,3]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [5,4]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,5,3]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,4,1,3]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,8]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,1,1,3]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,4,4]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,4]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [5,1,2,1]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [1,8]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,8]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,8]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,8]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,8]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] => [9,1]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [8,2]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,9]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,8]
[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,1,1]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,8,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0] => [8,2]
[1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,8]
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,8]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,6]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,7]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,8]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,1,1,4]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,9]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,6]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,7]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,8]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,9]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,5]
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,6]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,6]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,5]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [10]
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,7]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,7]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [10]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,8]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,8]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,6]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [10]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,6]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,8]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0] => [10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,9]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,9]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,9]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,2,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,2,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,1,1,1,2,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,2,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,1,1,2,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,4,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,2,1,1,1,1]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,2,2,2]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,3,1,1,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,5,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,2,1,1,1,1,1]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,2,1,1,1,2]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,2,2,1,1,1]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,2,2,2,1]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1,1]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,4,2,1]
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,6,1]
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,7]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,2,1,1,1,1,1,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,2,2,1,1,1,1]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,2,2,2,2]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1,1]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,4,4]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,5,1,1,1]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,6,2]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,7,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,1,2]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,1,1,1,1,2,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,1,1,1,1,3]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,1,3,1,2]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,2,1,1,1,1,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,2,2,2,1,1,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,2,2,2,3]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,3,2,2]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,3,4]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,4,1,1,1]
[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,7]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1,1]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2,2]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,3,3,3]
[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,3,6]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1,1]
[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,4,5]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,5,1,1,1,1]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,5,4]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,6,1,1,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,7,1,1]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,7,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,1,1,1,1,3]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,1,1,1,2,1,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,1,1,1,1,3,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,1,1,1,4]
[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,1,5]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,2,1,1,1,1,1]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [2,1,4,1,2]
[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [2,1,6,1]
[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,1,7]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,2,1,1,1,1,1,1]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,2,1,1,2,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,2,2,1,1,1,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,2,2,1,2,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,2,2,2,1,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,2,2,3,1]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,2,3,1,1,1]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,2,3,3]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1,1]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [2,3,3,2]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [2,4,3,1]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,4,4]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [2,6,1,1]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,6,2]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [2,7,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,1,2]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,1,2,1]
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [3,1,5,1]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,1,1,1,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [3,2,2,3]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,3,2,2]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,4]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [3,4,3]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,6,1]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [3,7]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [4,1,1,1,1,2]
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,1,1,4]
[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [4,1,4,1]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2]
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,2,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [4,3,3]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [4,4,1,1]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [4,4,2]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [4,5,1]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,6]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] => [5,1,1,1,2]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] => [5,1,3,1]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] => [5,1,4]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [5,5]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [6,1,1,2]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] => [6,1,2,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [6,1,3]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [6,3,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,4]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] => [7,1,2]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] => [7,2,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [7,3]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [7,1,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [10]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,1,1,1,1,3]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [10]
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,3,1,1]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,4,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [10]
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,9]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [10]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,3,1,1,1,1,1]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,4,1,1,1,1,1]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [10]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [8,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [9,1]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [7,2,1]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,2,2,1]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [10]
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [10]
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [10]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,9]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,9]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,9]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,9]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,9]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,9]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,9]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,9]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,7]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,7]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [3,7]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,7]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,7]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [5,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [5,5]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [5,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [5,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [7,3]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [7,3]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [7,3]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [7,3]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [7,3]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [9,1]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [9,1]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [9,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [9,1]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [9,1]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [9,1]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [9,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [9,1]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [9,1]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [9,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [9,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [9,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [9,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0] => [9,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [10]
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [10]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [3,1,1,1,1,1,2]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [10]
[1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,7]
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [4,6]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [10]
[1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,8]
[1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,7]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [10]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [10]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [10]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [10]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,8]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [6,4]
[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,3,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,7,1,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,7,1]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,3,1,1,1,2]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,4,1,1,1,2]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [5,1,1,1,2]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [10]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [10]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [10]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [10]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [10]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [10]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [10]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [10]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0] => [10]
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1]
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1]
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [9,1]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [10]
[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [10]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,3,1]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,2]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,2,2,3,1]
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2]
[1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,3,1,1,1]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,3,1,1,1,1]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,1,1,1,1,1,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,4]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,5,1,1,1,1]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,4,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,4]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [10]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,1,1,1,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [10]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,5,1,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,6,1]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,6,1,1]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,7,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [7,3]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,8]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,6]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,7,2]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,2,3,1,1]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0] => [8,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,1]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,4,1,1,1,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,5,1,1,1,1]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,9]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [9,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [6,1,2,1]
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [5,1,3,1]
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [4,1,4,1]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [3,1,5,1]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,6,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0] => [8,1,1]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0] => [10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [10]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,9]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,9]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,1,4,1]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [2,8]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [10]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [10]
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [10]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [4,6]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0] => [5,5]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,0,0,0,0] => [5,5]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,7]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [10]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0] => [10]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,4]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,6]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,8]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,9]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,2,7]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,2,2,5]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,3]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [10]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [10]
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [10]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,7,1]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,1,1,1,1,1,1]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [4,6]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [6,4]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [8,1,1]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [10]
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [10]
[1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [10]
[1,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [10]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [9,1]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [10]
[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [2,7,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,7,2]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [10]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,1,1,5]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,4,2]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,4,2]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,4,2,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,4,2,1]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [10]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,7,1]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,1,3,1]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,6,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,4,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,6,2]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,2,6]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [4,6]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [10]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,8]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,8]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,8]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [6,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,4,4]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [6,4]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,8]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [10]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [10]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [10]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [4,6]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [7,2,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [6,3,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [5,4,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [4,5,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,6,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [6,3,1]
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [5,4,1]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [4,5,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,6,1]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [2,7,1]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,8,1]
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [10]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [10]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [10]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [10]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0] => [8,2]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [10]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0] => [10]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [10]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [10]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [10]
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [10]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,2,2]
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [3,6,1]
[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [4,5,1]
[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0] => [6,3,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,1,0] => [7,2,1]
[1,1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [10]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,1,6]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,6,1,2]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,2,1,6]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,2,1,6]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,4,1,4]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,1,4,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,5,1,3]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,4,1,3,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,2,1,6]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,9]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,6,1,2]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,5,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,2,1,6]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,9]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,8,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0] => [7,3]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0] => [6,4]
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0] => [5,5]
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [4,6]
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,7]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,1,1,1,1,3]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,9]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,9]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,4,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,4]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,2,5,1]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [2,5,2,1]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0] => [1,7,1,1]
[1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,7,1]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,8,1]
[1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,8]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [10]
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,0] => [10]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,6]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,8]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [2,8]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [10]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [8,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,9]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [6,1,1,2]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,9]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,9]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,2,1]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [10]
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [8,1,1]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [10]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [8,1,1]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,8,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [6,3,1]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [6,1,3]
[1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [10]
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,6,1]
[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [8,1,1]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,8,1]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,4,3]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,1,8]
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0] => [6,3,1]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [6,1,3]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,6,3]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [10]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,8,1]
[1,1,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [3,1,6]
[1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,3,6]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [8,1,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,8,1]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,4,3]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,1,8]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,6,3]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [10]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,6]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,3,6]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,8,1]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [10]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,8]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [10]
[1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0] => [10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [10]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,9]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,9]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,9]
[1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,9]
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [5,1,2,2]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,2,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,4]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,6,2]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,6,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,8]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,8]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,8]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [4,2,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,2]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [4,6]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [6,4]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [8,2]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [8,2]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [8,2]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [8,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [10]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [10]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [10]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,2,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,6,2,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,7,2]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,5,2,2]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,6,2,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [9,1]
[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [9,1]
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [7,3]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [8,1,1]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [9,1]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [2,8]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [2,8]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [2,8]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [2,8]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [10]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [10]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [10]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [10]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [9,1]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [9,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [9,1]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,2,6]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,2,6]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,8]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,7,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,7,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,5,4]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,8,1]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [4,2,4]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,7,1,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,7,1,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [8,1,1]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [6,2,1,1]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [6,2,1,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,9]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [1,9]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,9]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [10]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [10]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [8,2]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [8,2]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [10]
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [10]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,4,1,1,1,1]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,2,3,1,1,1,1]
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0] => [9,1]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [10]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [10]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [8,2]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,8]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,7]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,6]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,5]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,9]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,2,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,2,2,4]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [2,8]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,9]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,9]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,9]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [5,2,2,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,9]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,6,2,1]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,4,2,2,1]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [10]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [10]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [10]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [10]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [10]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [10]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [10]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [10]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [10]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [10]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [10]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [10]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [10]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [10]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [10]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [10]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [10]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [10]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [10]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [10]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [10]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [10]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [10]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [10]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [10]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [10]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [10]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [10]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [10]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [10]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [10]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [10]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [10]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [10]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [10]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [10]
[1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2,8]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,8]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,1,1,1,4]
[1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,8]
[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,8]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [4,4,1,1]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,1,5,2]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1]
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,5,2]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [4,1,4,1]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [5,4,1]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,6]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,5]
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [8,2]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [5,5]
[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [8,2]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [4,6]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [7,3]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [6,1,2,1]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,1,0] => [7,2,1]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0] => [6,1,3]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [8,2]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [7,3]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,1,7]
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [3,7]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [2,1,7]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [3,7]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0] => [9,1]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0] => [9,1]
[1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0] => [9,1]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [9,1]
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [10]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [10]
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [10]
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [10]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [10]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [10]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [10]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0] => [10]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [10]
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [10]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [10]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0] => [10]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0] => [10]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [10]
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0] => [10]
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [10]
[1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [10]
[1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [10]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [10]
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [8,1,1]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [7,1,1,1]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,1,1,1,1,1]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0] => [8,1,1]
[1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [2,7,1]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,2,6]
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [3,5,2]
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,3,4]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [10]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [10]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [3,1,1,1,3,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,1,1,1,3,1]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [3,1,1,1,1,2,1]
[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,8]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,8]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,8]
[1,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,3,5]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,3,6]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,8]
[1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,7]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,7]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,2,4]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,6]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,6]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,1,2,4]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [5,1,4]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [5,1,4]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,8,1]
[1,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,7,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,8,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,5,3,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,3,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,6,1]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,3,3,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [5,4,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [5,4,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,6,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,5,2,1]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [3,4,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,5,2,1]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,1,4,1]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,5,1]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,6,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,3]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,3]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0] => [10]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [9,1]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,9]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,5,4]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,4,1,4]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,3,1,1,4]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,1,1,4]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,2,5]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,4,3]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,2,7]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,2,7]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,4,2,3]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,6,3]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,6,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,2,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,5]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,4,3]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [10]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [10]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [10]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [10]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [10]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [10]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [10]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [10]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [10]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [10]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [10]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [10]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [10]
[1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,9]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,9]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10,1]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,10]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1]
[1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0] => [10,1]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,10]
[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0] => [10,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,10]
[1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,10]
[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,0,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,1,1,1,1,1,1,2]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,3]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,1,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,7]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,9]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,1,3]
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [11]
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [11]
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [11]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [11]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [11]
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [11]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [11]
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [11]
[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [2,9]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [11]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1,1]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] => [9,2]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [11]
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,2,1]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [10,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,10]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [10,1]
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [11]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,7]
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,6,1]
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,3,1]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,6,1,1,1,1]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [7,1,1,1,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,2,2,2,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,2,2,2,3]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,10]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [9,1,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [6,5]
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [11]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,6,1,1]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,7,1]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,9,1]
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [11]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,1,1,1,1,2,1,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [11]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [11]
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [11]
[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [11]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [6,1,1,1,1,1]
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [11]
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [11]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [11]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,4,2,1]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,4,2,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,1,1,1,1,3,1]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,1,1,1,1,1,2,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,1,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [8,2,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [7,3,1]
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [6,4,1]
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [5,5,1]
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [4,6,1]
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,7,1]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,8,1]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,9,1]
[1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,9]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [6,2,2,1]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,2,1]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [11]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [11]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [2,8,1]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [3,7,1]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [4,6,1]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [5,5,1]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] => [6,4,1]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0] => [7,3,1]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0] => [8,2,1]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [9,2]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,1,1,1,1,1,1,2]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,1,1,1,1,1,1,2]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,10]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [5,6]
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [11]
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,10]
[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,10]
[1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10]
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,1,0] => [10,1]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0] => [10,1]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [4,2,2,2,1]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,4,3]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,2,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,1,1,1,3,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,1,1,4,1]
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [11]
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [11]
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [11]
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [11]
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,4]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,5]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,1,6]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,7]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,8]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,9]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,8,2]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [11]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [11]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,5,5]
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [5,1,5]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [2,5,4]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [5,2,4]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [5,4,2]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [3,4,4]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [4,3,4]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0] => [11,1]
[1,0,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,11]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,1,1,1,1,1,1,3]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,11]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,11]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,11]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [3,9]
[1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [3,9]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [5,7]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [5,7]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [5,7]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [5,7]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,7]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [5,7]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [5,7]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [5,7]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [5,7]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,7]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [7,5]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [7,5]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [11,1]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [11,1]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [11,1]
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [12]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,2,2,2,2,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2,2]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,2,4,2,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,2,6,2]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,6,2]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,8,2]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,8,2]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [2,8,2]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,2,2,4,2]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [4,2,4,2]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [6,4,2]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,4,4,2]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [6,4,2]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,8,2]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,2,6,2]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [4,6,2]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [2,8,2]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,2,2,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [4,2,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [6,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,4,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [6,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,2,8]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [4,8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,2,8]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,8]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,2,8]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [4,8]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,2,2,2,4]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,4]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [6,2,4]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,4,2,4]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [6,2,4]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,6,4]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [8,4]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [8,4]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [8,4]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,2,4,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [4,4,4]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [8,4]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [2,6,4]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [8,4]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,2,8]
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,8]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,2,2,6]
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,6]
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [6,6]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,4,6]
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [6,6]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,2,8]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [4,8]
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,2]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,11]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0] => [1,8,1,2]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [1,7,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,4,1,6]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,3,1,6,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,1,5]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,4,1,5,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,2,1,5,1,2]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0] => [1,8,1,2]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,7,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,8,1,2]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,7,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,2,1,3,1,4]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,2,1,4,1,3]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,6,1,4]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,7,1,3]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,5,1,4,1]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,6,1,3,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,4,1,2,1,3]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,1,2,1,3,1]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,5,1,5]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,6,1,4]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,4,1,5,1]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,5,1,4,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,11]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,8,1,2]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,7,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [1,8,1,2]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,7,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,4,1,6]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,3,1,6,1]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,1,5]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,4,1,5,1]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,2,1,5,1,2]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,8,1,2]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,7,1,2,1]
[1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,1,8]
[1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,11]
[1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,1,1,1,1,1,1,1,1,1]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [12]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [12]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,2,8]
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [8,2,1,1]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,1,0] => [8,3,1]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [8,1,3]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [1,8,3]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,5]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,4,5]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,10]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0] => [12]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,10]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0] => [12]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,6,5]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [3,1,8]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [3,1,8]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,3,8]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,8]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [1,1,10]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [12]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0,0] => [1,1,10]
[1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,1,0,0] => [12]
[1,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [1,1,10]
[1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,0] => [10,1,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,10]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [12]
[1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0] => [12]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [3,8,1]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,6,5]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0] => [10,1,1]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,10]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,10]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0] => [12]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0] => [12]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [8,3,1]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [8,1,3]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0] => [12]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0] => [8,3,1]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0] => [8,1,3]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [3,1,8]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,1,8]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,3,8]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,3,8]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,10]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,10]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [12]
[1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,10]
[1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [12]
[1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,10]
[1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [10,1,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [10,1,1]
[1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,10]
[1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [12]
[1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,6,1]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,6,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0] => [12]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,10]
[1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [10,1,1]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,10]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [12]
[1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0] => [12]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [3,8,1]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0] => [12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0] => [10,1,1]
[1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [8,3,1]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [8,1,3]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [8,3,1]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [8,1,3]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,10]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [12]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [5,6,1]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [5,6,1]
[1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [12]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [12]
[1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [3,8,1]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [10,1,1]
[1,0,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,10,1]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,4,3]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [5,4,3]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [12]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [3,8,1]
[1,0,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] => [1,10,1]
[1,1,0,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [3,1,8]
[1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [1,3,8]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,2,2,2,4]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,2,2,4,2]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,2,2,6]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,2,6]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,2,4,2,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,2,4,4]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,2,6,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,2,6,2]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,2,8]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,2,8]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,2,8]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,2,8]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,8]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,4,2,2,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,4,2,4]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,4,2]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,6]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,6,4]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [2,6,2,2]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [2,6,4]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [2,8,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [2,8,2]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [2,8,2]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [2,8,2]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [2,8,2]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,10]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,2,2,2,2]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [4,2,2,4]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [4,2,4,2]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [4,2,6]
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [4,2,6]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [4,4,4]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [4,6,2]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,6,2]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [4,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [4,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,8]
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,8]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,2,4]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [6,4,2]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [6,6]
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [6,6]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [6,2,2,2]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [6,2,4]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [6,4,2]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [6,6]
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [6,6]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [8,4]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [8,4]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [8,4]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [8,4]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] => [8,2,2]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0] => [8,4]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [12]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,1,1,1,1,1,1,1,1,1]
[1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0] => [2,10]
[1,1,0,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0] => [2,10]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [2,10]
[1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [2,10]
[1,1,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0] => [2,10]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0] => [2,10]
[1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0] => [2,10]
[1,1,0,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0] => [2,10]
[1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0] => [2,10]
[1,1,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0] => [2,10]
[1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [2,10]
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [12]
[1,1,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0] => [12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [12]
[1,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [12]
[1,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0] => [12]
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0] => [12]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,0] => [11,1]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0] => [11,1]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => [11,1]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,2,8]
[1,0,1,0,1,1,0,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,2,8]
[1,0,1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,2,8]
[1,0,1,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,2,8]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,10]
[1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,10]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,10]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,10]
[1,0,1,0,1,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,9,1]
[1,0,1,0,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,9,1]
[1,0,1,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,9,1]
[1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [1,1,9,1]
[1,0,1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,9,1]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,5,6]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,5,6]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,11]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0] => [1,10,1]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [4,2,6]
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,6]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [4,8]
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [4,7,1]
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [4,7,1]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,7,4]
[1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,10,1]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,7,4]
[1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,10,1]
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [8,4]
[1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [11,1]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [6,2,4]
[1,1,0,1,1,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [6,5,1]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [6,2,4]
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [6,5,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,9,1,1]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,9,1,1]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,9,1,1]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,9,1,1]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,9,1,1]
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [10,1,1]
[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0] => [8,2,1,1]
[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0] => [8,2,1,1]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0] => [8,2,1,1]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [8,2,1,1]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [1,11]
[1,0,1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [1,11]
[1,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [1,11]
[1,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [1,11]
[1,0,1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [1,11]
[1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [12]
[1,1,0,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0] => [12]
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [12]
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0] => [12]
[1,1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0] => [12]
[1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [12]
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0] => [12]
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0] => [10,2]
[1,1,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,1,1,0,0] => [10,2]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0] => [10,2]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [10,2]
[1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,2,2,2,2,2,1]
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [12]
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [12]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [12]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0] => [12]
[1,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,0] => [12]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0] => [12]
[1,1,1,0,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0] => [12]
[1,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0] => [12]
[1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [12]
[1,1,1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0] => [12]
[1,1,1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0] => [12]
[1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0] => [12]
[1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0] => [12]
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [12]
[1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [12]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0] => [12]
[1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [12]
[1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [12]
[1,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [12]
[1,1,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [12]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] => [12]
[1,1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,0,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0] => [12]
[1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0] => [12]
[1,1,1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0] => [12]
[1,1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [12]
[1,1,1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0] => [12]
[1,1,1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [12]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0] => [12]
[1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [12]
[1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0] => [12]
[1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [12]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [3,1,2,1,4,1]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [4,2,1,1,4]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,4,4,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [5,2,1,4]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [3,4,4,1]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [3,1,2,1,5]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [8,2,1,1]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,1,5,4]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [3,1,3,5]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,2,1]
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,3,4]
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [9,2,1]
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [4,4,4]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [4,3,5]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,4,1,4]
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [6,4,1,1]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [2,1,5,4]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [7,4,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [3,5,4]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [7,1,3,1]
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [8,3,1]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [6,1,4,1]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [7,4,1]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,1,8]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [6,1,5]
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,1,8]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [7,1,4]
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,7]
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [8,4]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [7,5]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [6,6]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [8,4]
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [5,7]
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [10,2]
[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [8,4]
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [4,8]
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [6,6]
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [4,8]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [7,5]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [7,5]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,1,0,0] => [2,1,6,1,2]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [4,6,1,1]
[1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [2,1,7,2]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,6,1]
[1,1,0,1,0,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [3,7,2]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [4,1,6,1]
[1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,6,1]
[1,1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [3,1,8]
[1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [4,1,7]
[1,1,0,1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,7]
[1,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [10,2]
[1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [4,8]
[1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [8,1,2,1]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [9,2,1]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [8,1,3]
[1,1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] => [8,1,2,1]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0] => [9,2,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0] => [8,1,3]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0] => [10,2]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0] => [9,3]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [2,1,9]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0] => [3,9]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [2,1,9]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0] => [3,9]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [2,1,9]
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0] => [3,9]
[1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [2,1,9]
[1,1,0,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0] => [3,9]
[1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [2,1,9]
[1,1,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0] => [3,9]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0] => [11,1]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [12]
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [12]
[1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [12]
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,0] => [12]
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [12]
[1,1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [12]
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0] => [12]
[1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [12]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0] => [12]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,1,1,1,1,1,1,1,1,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,1,1,1,1,1,3,1]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,1,1,1,1,1,1,2,1]
[1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,10]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,10]
[1,0,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,9]
[1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,10]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,10]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,9]
[1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,10]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,5,5]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,3,2,5]
[1,0,1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,3,8]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,3,8]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,3,5]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,5,6]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,5,6]
[1,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,10]
[1,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,1,1,9]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,10]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,9]
[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,2,7]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,3,8]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,3,1,7]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,5,6]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,5,6]
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,1,1,9]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,5,4]
[1,0,1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,3,1,7]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,5,4]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,2,2,2,4]
[1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [3,1,8]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [3,1,8]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [3,1,3,5]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [3,3,6]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [3,1,8]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,1,1,7]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [3,3,6]
[1,1,0,1,0,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [3,1,1,7]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [3,1,2,2,4]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [5,1,6]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [5,1,6]
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [5,1,2,4]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [5,1,6]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [5,1,6]
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [5,1,2,4]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,1,0,0,1,0,0] => [7,1,4]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [7,1,4]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [7,1,4]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [7,1,4]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [7,1,4]
[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,9,1]
[1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,9,1]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,5,4,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,0,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,3,7,1]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,10,1]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,7,3,1]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,6,3,1]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,7,3,1]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,5,2,3,1]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,2,3,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [3,8,1]
[1,1,0,1,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [3,1,7,1]
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [3,8,1]
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [3,5,3,1]
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [3,3,2,3,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [5,6,1]
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [5,3,3,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [5,6,1]
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [5,3,3,1]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [7,4,1]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0] => [1,8,2,1]
[1,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,7,2,1]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,8,2,1]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,7,2,1]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,2,5,2,1]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [3,6,2,1]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [3,1,5,2,1]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [5,4,2,1]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [5,4,2,1]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,7,2,1]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,5,2,2,1]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [3,1,5,2,1]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,5,2,2,1]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [7,2,3]
[1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [11,1]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,2,2,2,3]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,2,2,5]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,2,2,4,3]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,2,2,7]
[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,2,2,7]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,2,3]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,2,4,5]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,2,6,3]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,2,6,3]
[1,0,1,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,2,9]
[1,0,1,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,2,9]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,2,9]
[1,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,2,9]
[1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [1,2,9]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,4,2,2,3]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,4,2,5]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,4,4,3]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,4,7]
[1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,4,7]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,6,2,3]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,6,2,3]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,6,5]
[1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,8,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [3,2,2,2,3]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [3,2,2,5]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [3,2,4,3]
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [3,2,7]
[1,1,0,1,0,0,1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [3,2,7]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [3,4,2,3]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [3,4,5]
[1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [3,6,3]
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0] => [3,6,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,2,3]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [5,2,5]
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,4,3]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [5,2,2,3]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [5,2,5]
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [5,4,3]
[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [12]
[1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,0] => [12]
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,1,0,0] => [12]
[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [12]
[1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0] => [12]
[1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [12]
[1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0,0] => [12]
[1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0,0] => [12]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0] => [12]
[1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0] => [12]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0] => [12]
[1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0] => [12]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0] => [12]
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Inverses
Mp00100touch composition ∘ Mp00231bounce path = id : Integer compositions ⟶ Integer compositions
Intertwining relations
Mp00038reverse ∘ Mp00100touch composition = Mp00100touch composition ∘ Mp00028reverse : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00142promotion ∘ Mp00199prime Dyck path = Mp00178to composition ∘ Mp00094to binary word ∘ Mp00100touch composition : Dyck paths ⟶ Integer compositions
Absorbing relations
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00066inverse = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00040to partition ∘ Mp00100touch composition ∘ Mp00028reverse = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00028reverse = Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00222peaks-to-valleys ∘ Mp00229Delest-Viennot = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00227Delest-Viennot-inverse = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00222peaks-to-valleys = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00007to Dyck path ∘ Mp00005transpose = Mp00100touch composition ∘ Mp00007to Dyck path : Alternating sign matrices ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00235descent views to invisible inversion bottoms = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00086first fundamental transformation = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00087inverse first fundamental transformation = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00236Clarke-Steingrimsson-Zeng inverse = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00159Demazure product with inverse = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00238Clarke-Steingrimsson-Zeng = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00239Corteel = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00315inverse Foata bijection ∘ Mp00100touch composition ∘ Mp00230parallelogram polyomino = Mp00100touch composition ∘ Mp00230parallelogram polyomino : Integer partitions ⟶ Integer compositions
Mp00314Foata bijection ∘ Mp00100touch composition ∘ Mp00230parallelogram polyomino = Mp00100touch composition ∘ Mp00230parallelogram polyomino : Integer partitions ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00023to non-crossing permutation = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00222peaks-to-valleys ∘ Mp00228reflect parallelogram polyomino = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00028reverse ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00023to non-crossing permutation = Mp00100touch composition ∘ Mp00028reverse : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00089Inverse Kreweras complement ∘ Mp00149Lehmer code rotation = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00241invert Laguerre heap = Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00142promotion ∘ Mp00229Delest-Viennot ∘ Mp00222peaks-to-valleys = Mp00100touch composition ∘ Mp00142promotion : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00222peaks-to-valleys ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00023to non-crossing permutation = Mp00100touch composition ∘ Mp00222peaks-to-valleys : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00143inverse promotion ∘ Mp00229Delest-Viennot ∘ Mp00222peaks-to-valleys = Mp00100touch composition ∘ Mp00143inverse promotion : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00124Adin-Bagno-Roichman transformation ∘ Mp00229Delest-Viennot ∘ Mp00222peaks-to-valleys = Mp00100touch composition ∘ Mp00124Adin-Bagno-Roichman transformation : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00101decomposition reverse ∘ Mp00028reverse ∘ Mp00327inverse Kreweras complement = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Constant maps
Mp00100touch composition ∘ Mp00199prime Dyck path = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00201Ringel = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00064reverse ∘ Mp00090cycle-as-one-line notation = const : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00175inverse Foata bijection ∘ Mp00283non-nesting-exceedence permutation = const : Perfect matchings ⟶ Integer compositions
Mp00100touch composition ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00051to Dyck path ∘ Mp00008to complete tree = const : Binary trees ⟶ Integer compositions
Mp00100touch composition ∘ Mp00032inverse zeta map ∘ Mp00103peeling map = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00101decomposition reverse ∘ Mp00103peeling map = const : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00118swap returns and last descent ∘ Mp00103peeling map = const : Dyck paths ⟶ Integer compositions
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
Mp00100touch composition ∘ Mp00101decomposition reverse ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00090cycle-as-one-line notation = const : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00089Inverse Kreweras complement ∘ Mp00090cycle-as-one-line notation = const : Permutations ⟶ Integer compositions
Other relations
Mp00100touch composition ∘ Mp00227Delest-Viennot-inverse = Mp00100touch composition ∘ Mp00222peaks-to-valleys : Dyck paths ⟶ Integer compositions
Mp00041conjugate ∘ Mp00100touch composition ∘ Mp00028reverse = Mp00039complement ∘ Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00229Delest-Viennot = Mp00100touch composition ∘ Mp00120Lalanne-Kreweras involution : Dyck paths ⟶ Integer compositions
Mp00039complement ∘ Mp00100touch composition ∘ Mp00028reverse = Mp00041conjugate ∘ Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00102rise composition ∘ Mp00099bounce path = Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00228reflect parallelogram polyomino = Mp00100touch composition ∘ Mp00222peaks-to-valleys : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00056to Dyck path = Mp00057to touch composition : Parking functions ⟶ Integer compositions
Mp00231bounce path ∘ Mp00100touch composition = Mp00127left-to-right-maxima to Dyck path ∘ Mp00066inverse ∘ Mp00023to non-crossing permutation : Dyck paths ⟶ Dyck paths
Mp00102rise composition ∘ Mp00028reverse ∘ Mp00099bounce path = Mp00100touch composition ∘ Mp00028reverse ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00028reverse ∘ Mp00056to Dyck path = Mp00038reverse ∘ Mp00057to touch composition : Parking functions ⟶ Integer compositions
Mp00040to partition ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00040to partition ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Integer partitions
Mp00133delta morphism ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00133delta morphism ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Integer compositions
Mp00173rotate front to back ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00173rotate front to back ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Integer compositions
Mp00172rotate back to front ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00172rotate back to front ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00012to Dyck path: up step, left tree, down step, right tree ∘ Mp00072binary search tree: left to right = Mp00102rise composition ∘ Mp00127left-to-right-maxima to Dyck path : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00012to Dyck path: up step, left tree, down step, right tree ∘ Mp00061to increasing tree = Mp00102rise composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00066inverse : Permutations ⟶ Integer compositions
Mp00315inverse Foata bijection ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00315inverse Foata bijection ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Integer compositions
Mp00314Foata bijection ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00314Foata bijection ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Integer compositions
Mp00184to threshold graph ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00184to threshold graph ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Graphs
Mp00094to binary word ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00094to binary word ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Binary words
Mp00180to ribbon ∘ Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path = Mp00180to ribbon ∘ Mp00178to composition ∘ Mp00114connectivity set : Permutations ⟶ Skew partitions
Mp00172rotate back to front ∘ Mp00100touch composition ∘ Mp00230parallelogram polyomino = Mp00100touch composition ∘ Mp00028reverse ∘ Mp00230parallelogram polyomino : Integer partitions ⟶ Integer compositions
Mp00037to partition of connected components ∘ Mp00160graph of inversions ∘ Mp00119to 321-avoiding permutation (Krattenthaler) = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00037to partition of connected components ∘ Mp00160graph of inversions ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00040to partition ∘ Mp00100touch composition ∘ Mp00099bounce path = Mp00204LLPS ∘ Mp00023to non-crossing permutation ∘ Mp00099bounce path : Dyck paths ⟶ Integer partitions
Mp00037to partition of connected components ∘ Mp00160graph of inversions ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) = Mp00040to partition ∘ Mp00100touch composition ∘ Mp00120Lalanne-Kreweras involution : Dyck paths ⟶ Integer partitions
Mp00040to partition ∘ Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection = Mp00037to partition of connected components ∘ Mp00160graph of inversions ∘ Mp00024to 321-avoiding permutation : Dyck paths ⟶ Integer partitions
Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00123Barnabei-Castronuovo involution = Mp00100touch composition ∘ Mp00028reverse ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00024to 321-avoiding permutation = Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Integer compositions
Mp00102rise composition ∘ Mp00032inverse zeta map ∘ Mp00099bounce path = Mp00041conjugate ∘ Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00099bounce path ∘ Mp00030zeta map = Mp00071descent composition ∘ Mp00175inverse Foata bijection ∘ Mp00031to 312-avoiding permutation : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00129to 321-avoiding permutation (Billey-Jockusch-Stanley) = Mp00100touch composition ∘ Mp00120Lalanne-Kreweras involution : Dyck paths ⟶ Integer compositions
Mp00071descent composition ∘ Mp00023to non-crossing permutation ∘ Mp00099bounce path = Mp00039complement ∘ Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path = Mp00039complement ∘ Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00143inverse promotion = Mp00100touch composition ∘ Mp00222peaks-to-valleys ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Integer compositions
Mp00128to composition ∘ Mp00138to noncrossing partition ∘ Mp00099bounce path = Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00023to non-crossing permutation = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00114connectivity set ∘ Mp00024to 321-avoiding permutation ∘ Mp00199prime Dyck path = Mp00094to binary word ∘ Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Binary words
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00080to permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00080to permutation : Set partitions ⟶ Integer compositions
Mp00040to partition ∘ Mp00100touch composition ∘ Mp00020to Tamari-corresponding Dyck path = Mp00037to partition of connected components ∘ Mp00160graph of inversions ∘ Mp00017to 312-avoiding permutation : Binary trees ⟶ Integer partitions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00014to 132-avoiding permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00014to 132-avoiding permutation : Binary trees ⟶ Integer compositions
Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00017to 312-avoiding permutation = Mp00100touch composition ∘ Mp00020to Tamari-corresponding Dyck path : Binary trees ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00058to permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00058to permutation : Perfect matchings ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00283non-nesting-exceedence permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00058to permutation : Perfect matchings ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00002to left key permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00002to left key permutation : Alternating sign matrices ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00075reading word permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00075reading word permutation : Semistandard tableaux ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00055to labelling permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00055to labelling permutation : Parking functions ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00053to car permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00053to car permutation : Parking functions ⟶ Integer compositions
Mp00100touch composition ∘ Mp00121Cori-Le Borgne involution ∘ Mp00056to Dyck path = Mp00057to touch composition ∘ Mp00303complement : Parking functions ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00253permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00253permutation : Decorated permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00163permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00163permutation : Signed permutations ⟶ Integer compositions
Mp00173rotate front to back ∘ Mp00100touch composition ∘ Mp00028reverse ∘ Mp00230parallelogram polyomino = Mp00100touch composition ∘ Mp00230parallelogram polyomino : Integer partitions ⟶ Integer compositions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00064reverse ∘ Mp00025to 132-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00066inverse ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00064reverse ∘ Mp00025to 132-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00237descent views to invisible inversion bottoms ∘ Mp00066inverse ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00066inverse ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00102rise composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00066inverse ∘ Mp00023to non-crossing permutation = Mp00100touch composition : Dyck paths ⟶ Integer compositions
Mp00071descent composition ∘ Mp00069complement ∘ Mp00023to non-crossing permutation ∘ Mp00099bounce path = Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00071descent composition ∘ Mp00175inverse Foata bijection ∘ Mp00031to 312-avoiding permutation ∘ Mp00032inverse zeta map = Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00064reverse ∘ Mp00014to 132-avoiding permutation = Mp00100touch composition ∘ Mp00012to Dyck path: up step, left tree, down step, right tree : Binary trees ⟶ Integer compositions
Mp00102rise composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00064reverse ∘ Mp00014to 132-avoiding permutation = Mp00100touch composition ∘ Mp00012to Dyck path: up step, left tree, down step, right tree : Binary trees ⟶ Integer compositions
Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00064reverse ∘ Mp00014to 132-avoiding permutation = Mp00100touch composition ∘ Mp00012to Dyck path: up step, left tree, down step, right tree : Binary trees ⟶ Integer compositions
Mp00102rise composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00064reverse ∘ Mp00017to 312-avoiding permutation = Mp00100touch composition ∘ Mp00012to Dyck path: up step, left tree, down step, right tree : Binary trees ⟶ Integer compositions
Mp00102rise composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00066inverse ∘ Mp00017to 312-avoiding permutation = Mp00100touch composition ∘ Mp00020to Tamari-corresponding Dyck path : Binary trees ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00310toric promotion = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00310toric promotion : Permutations ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00223runsort = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00223runsort : Permutations ⟶ Integer compositions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00159Demazure product with inverse ∘ Mp00031to 312-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00159Demazure product with inverse ∘ Mp00031to 312-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00239Corteel ∘ Mp00119to 321-avoiding permutation (Krattenthaler) = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00236Clarke-Steingrimsson-Zeng inverse ∘ Mp00119to 321-avoiding permutation (Krattenthaler) = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00086first fundamental transformation ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00086first fundamental transformation ∘ Mp00031to 312-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00238Clarke-Steingrimsson-Zeng ∘ Mp00119to 321-avoiding permutation (Krattenthaler) = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00236Clarke-Steingrimsson-Zeng inverse ∘ Mp00119to 321-avoiding permutation (Krattenthaler) = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00086first fundamental transformation ∘ Mp00031to 312-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00159Demazure product with inverse ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00238Clarke-Steingrimsson-Zeng ∘ Mp00119to 321-avoiding permutation (Krattenthaler) = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00159Demazure product with inverse ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00086first fundamental transformation ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00239Corteel ∘ Mp00119to 321-avoiding permutation (Krattenthaler) = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00237descent views to invisible inversion bottoms ∘ Mp00086first fundamental transformation ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00237descent views to invisible inversion bottoms ∘ Mp00086first fundamental transformation ∘ Mp00031to 312-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00073major-index to inversion-number bijection ∘ Mp00031to 312-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00235descent views to invisible inversion bottoms ∘ Mp00073major-index to inversion-number bijection ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00073major-index to inversion-number bijection ∘ Mp00031to 312-avoiding permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00073major-index to inversion-number bijection ∘ Mp00023to non-crossing permutation = Mp00040to partition ∘ Mp00100touch composition : Dyck paths ⟶ Integer partitions
Mp00100touch composition ∘ Mp00327inverse Kreweras complement ∘ Mp00199prime Dyck path = Mp00100touch composition ∘ Mp00118swap returns and last descent ∘ Mp00199prime Dyck path : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00222peaks-to-valleys ∘ Mp00122Elizalde-Deutsch bijection ∘ Mp00142promotion = Mp00100touch composition ∘ Mp00122Elizalde-Deutsch bijection : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00088Kreweras complement ∘ Mp00023to non-crossing permutation = Mp00100touch composition ∘ Mp00142promotion : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00088Kreweras complement ∘ Mp00031to 312-avoiding permutation = Mp00100touch composition ∘ Mp00142promotion : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00089Inverse Kreweras complement ∘ Mp00023to non-crossing permutation = Mp00100touch composition ∘ Mp00143inverse promotion : Dyck paths ⟶ Integer compositions
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00089Inverse Kreweras complement ∘ Mp00031to 312-avoiding permutation = Mp00100touch composition ∘ Mp00143inverse promotion : Dyck paths ⟶ Integer compositions
Mp00071descent composition ∘ Mp00023to non-crossing permutation ∘ Mp00120Lalanne-Kreweras involution ∘ Mp00099bounce path = Mp00100touch composition ∘ Mp00099bounce path : Dyck paths ⟶ Integer compositions
Mp00114connectivity set ∘ Mp00088Kreweras complement ∘ Mp00023to non-crossing permutation ∘ Mp00199prime Dyck path = Mp00094to binary word ∘ Mp00100touch composition : Dyck paths ⟶ Binary words
Mp00100touch composition ∘ Mp00127left-to-right-maxima to Dyck path ∘ Mp00286to permutation = Mp00178to composition ∘ Mp00114connectivity set ∘ Mp00286to permutation : Ordered set partitions ⟶ Integer compositions
Description
Sends a Dyck path to its touch composition given by the composition of lengths of its touch points.
Properties
surjective, graded
Sage code
def mapping(D):
return D.touch_composition()
Weight
26
Created
Jan 29, 2020 at 13:26 by FindStatCrew
Updated
Jan 29, 2020 at 13:26 by Martin Rubey
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