Identifier
Mp00099:
Dyck paths
—bounce path⟶
Dyck paths
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00226: Standard tableaux —row-to-column-descents⟶ Standard tableaux
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00226: Standard tableaux —row-to-column-descents⟶ Standard tableaux
Images
[1,0] => [1,0] => [[1],[2]] => [[1],[2]]
[1,0,1,0] => [1,0,1,0] => [[1,3],[2,4]] => [[1,2],[3,4]]
[1,1,0,0] => [1,1,0,0] => [[1,2],[3,4]] => [[1,3],[2,4]]
[1,0,1,0,1,0] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => [[1,2,4],[3,5,6]]
[1,0,1,1,0,0] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => [[1,2,5],[3,4,6]]
[1,1,0,0,1,0] => [1,1,0,0,1,0] => [[1,2,5],[3,4,6]] => [[1,3,4],[2,5,6]]
[1,1,0,1,0,0] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => [[1,2,5],[3,4,6]]
[1,1,1,0,0,0] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => [[1,3,5],[2,4,6]]
[1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => [[1,2,4,6],[3,5,7,8]]
[1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => [[1,2,4,7],[3,5,6,8]]
[1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0] => [[1,3,4,7],[2,5,6,8]] => [[1,2,5,6],[3,4,7,8]]
[1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => [[1,2,4,7],[3,5,6,8]]
[1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => [[1,2,5,7],[3,4,6,8]]
[1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0] => [[1,2,5,7],[3,4,6,8]] => [[1,3,4,6],[2,5,7,8]]
[1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0] => [[1,2,5,6],[3,4,7,8]] => [[1,3,4,7],[2,5,6,8]]
[1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0] => [[1,3,4,7],[2,5,6,8]] => [[1,2,5,6],[3,4,7,8]]
[1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0] => [[1,2,5,6],[3,4,7,8]] => [[1,3,4,7],[2,5,6,8]]
[1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => [[1,2,5,7],[3,4,6,8]]
[1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0] => [[1,2,3,7],[4,5,6,8]] => [[1,3,5,6],[2,4,7,8]]
[1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0] => [[1,2,5,6],[3,4,7,8]] => [[1,3,4,7],[2,5,6,8]]
[1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => [[1,2,5,7],[3,4,6,8]]
[1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => [[1,3,5,7],[2,4,6,8]]
[1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => [[1,2,4,6,8],[3,5,7,9,10]]
[1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => [[1,2,4,6,9],[3,5,7,8,10]]
[1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0] => [[1,3,5,6,9],[2,4,7,8,10]] => [[1,2,4,7,8],[3,5,6,9,10]]
[1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => [[1,2,4,6,9],[3,5,7,8,10]]
[1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => [[1,2,4,7,9],[3,5,6,8,10]]
[1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,9],[2,5,6,8,10]] => [[1,2,5,6,8],[3,4,7,9,10]]
[1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]]
[1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0] => [[1,3,5,6,9],[2,4,7,8,10]] => [[1,2,4,7,8],[3,5,6,9,10]]
[1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]]
[1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => [[1,2,4,7,9],[3,5,6,8,10]]
[1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0] => [[1,3,4,5,9],[2,6,7,8,10]] => [[1,2,5,7,8],[3,4,6,9,10]]
[1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]]
[1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => [[1,2,4,7,9],[3,5,6,8,10]]
[1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,5,7,9],[3,4,6,8,10]]
[1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0] => [[1,2,5,7,9],[3,4,6,8,10]] => [[1,3,4,6,8],[2,5,7,9,10]]
[1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0] => [[1,2,5,7,8],[3,4,6,9,10]] => [[1,3,4,6,9],[2,5,7,8,10]]
[1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9],[3,4,7,8,10]] => [[1,3,4,7,8],[2,5,6,9,10]]
[1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0] => [[1,2,5,7,8],[3,4,6,9,10]] => [[1,3,4,6,9],[2,5,7,8,10]]
[1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,3,4,7,9],[2,5,6,8,10]]
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,9],[2,5,6,8,10]] => [[1,2,5,6,8],[3,4,7,9,10]]
[1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]]
[1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9],[3,4,7,8,10]] => [[1,3,4,7,8],[2,5,6,9,10]]
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]]
[1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,3,4,7,9],[2,5,6,8,10]]
[1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0] => [[1,3,4,5,9],[2,6,7,8,10]] => [[1,2,5,7,8],[3,4,6,9,10]]
[1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]]
[1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,3,4,7,9],[2,5,6,8,10]]
[1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,5,7,9],[3,4,6,8,10]]
[1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0] => [[1,2,3,7,9],[4,5,6,8,10]] => [[1,3,5,6,8],[2,4,7,9,10]]
[1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8],[4,5,6,9,10]] => [[1,3,5,6,9],[2,4,7,8,10]]
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9],[3,4,7,8,10]] => [[1,3,4,7,8],[2,5,6,9,10]]
[1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8],[4,5,6,9,10]] => [[1,3,5,6,9],[2,4,7,8,10]]
[1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,3,4,7,9],[2,5,6,8,10]]
[1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0] => [[1,3,4,5,9],[2,6,7,8,10]] => [[1,2,5,7,8],[3,4,6,9,10]]
[1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8],[4,5,6,9,10]] => [[1,3,5,6,9],[2,4,7,8,10]]
[1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,3,4,7,9],[2,5,6,8,10]]
[1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,5,7,9],[3,4,6,8,10]]
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0] => [[1,2,3,4,9],[5,6,7,8,10]] => [[1,3,5,7,8],[2,4,6,9,10]]
[1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8],[4,5,6,9,10]] => [[1,3,5,6,9],[2,4,7,8,10]]
[1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,3,4,7,9],[2,5,6,8,10]]
[1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,5,7,9],[3,4,6,8,10]]
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,3,5,7,9],[2,4,6,8,10]]
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [[1,2,4,6,8,10],[3,5,7,9,11,12]]
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => [[1,2,4,6,8,11],[3,5,7,9,10,12]]
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,8,11],[2,4,6,9,10,12]] => [[1,2,4,6,9,10],[3,5,7,8,11,12]]
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => [[1,2,4,6,8,11],[3,5,7,9,10,12]]
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [[1,2,4,6,9,11],[3,5,7,8,10,12]]
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,6,9,11],[2,4,7,8,10,12]] => [[1,2,4,7,8,10],[3,5,6,9,11,12]]
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,8,11],[2,4,6,9,10,12]] => [[1,2,4,6,9,10],[3,5,7,8,11,12]]
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [[1,2,4,6,9,11],[3,5,7,8,10,12]]
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [[1,2,4,7,9,10],[3,5,6,8,11,12]]
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [[1,2,4,6,9,11],[3,5,7,8,10,12]]
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [[1,2,4,7,9,11],[3,5,6,8,10,12]]
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,4,7,9,11],[2,5,6,8,10,12]] => [[1,2,5,6,8,10],[3,4,7,9,11,12]]
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2,5,6,8,11],[3,4,7,9,10,12]]
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2,5,6,8,11],[3,4,7,9,10,12]]
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,6,9,11],[2,4,7,8,10,12]] => [[1,2,4,7,8,10],[3,5,6,9,11,12]]
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [[1,2,4,7,9,10],[3,5,6,8,11,12]]
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [[1,2,4,7,9,11],[3,5,6,8,10,12]]
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [[1,2,5,7,8,10],[3,4,6,9,11,12]]
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [[1,2,4,7,9,10],[3,5,6,8,11,12]]
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [[1,2,4,7,9,11],[3,5,6,8,10,12]]
>>> Load all 1333 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [[1,2,5,7,9,10],[3,4,6,8,11,12]]
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [[1,2,4,7,9,11],[3,5,6,8,10,12]]
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11],[3,4,6,8,10,12]] => [[1,3,4,6,8,10],[2,5,7,9,11,12]]
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,10],[3,4,6,8,11,12]] => [[1,3,4,6,8,11],[2,5,7,9,10,12]]
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,8,11],[3,4,6,9,10,12]] => [[1,3,4,6,9,10],[2,5,7,8,11,12]]
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,10],[3,4,6,8,11,12]] => [[1,3,4,6,8,11],[2,5,7,9,10,12]]
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [[1,3,4,6,9,11],[2,5,7,8,10,12]]
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [[1,3,4,7,8,10],[2,5,6,9,11,12]]
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,8,11],[3,4,6,9,10,12]] => [[1,3,4,6,9,10],[2,5,7,8,11,12]]
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [[1,3,4,6,9,11],[2,5,7,8,10,12]]
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [[1,3,4,6,9,11],[2,5,7,8,10,12]]
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,4,7,9,11],[2,5,6,8,10,12]] => [[1,2,5,6,8,10],[3,4,7,9,11,12]]
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2,5,6,8,11],[3,4,7,9,10,12]]
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2,5,6,8,11],[3,4,7,9,10,12]]
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [[1,3,4,7,8,10],[2,5,6,9,11,12]]
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [[1,2,5,7,8,10],[3,4,6,9,11,12]]
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [[1,2,5,7,9,10],[3,4,6,8,11,12]]
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,7,9,11],[4,5,6,8,10,12]] => [[1,3,5,6,8,10],[2,4,7,9,11,12]]
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,3,5,6,8,11],[2,4,7,9,10,12]]
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,3,5,6,9,10],[2,4,7,8,11,12]]
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,3,5,6,8,11],[2,4,7,9,10,12]]
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [[1,3,4,7,8,10],[2,5,6,9,11,12]]
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,3,5,6,9,10],[2,4,7,8,11,12]]
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [[1,2,5,7,8,10],[3,4,6,9,11,12]]
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,3,5,6,9,10],[2,4,7,8,11,12]]
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [[1,2,5,7,9,10],[3,4,6,8,11,12]]
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,9,11],[5,6,7,8,10,12]] => [[1,3,5,7,8,10],[2,4,6,9,11,12]]
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,3,5,6,9,10],[2,4,7,8,11,12]]
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [[1,2,5,7,9,10],[3,4,6,8,11,12]]
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,11],[6,7,8,9,10,12]] => [[1,3,5,7,9,10],[2,4,6,8,11,12]]
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[1,3,5,7,9,11],[2,4,6,8,10,12]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]] => [[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]] => [[1,2,4,6,8,10,13],[3,5,7,9,11,12,14]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]] => [[1,2,4,6,8,11,12],[3,5,7,9,10,13,14]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]] => [[1,2,4,6,8,10,13],[3,5,7,9,11,12,14]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]] => [[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]] => [[1,2,4,6,9,10,12],[3,5,7,8,11,13,14]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]] => [[1,2,4,6,8,11,12],[3,5,7,9,10,13,14]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]] => [[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]] => [[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]] => [[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]] => [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]] => [[1,2,4,7,8,10,12],[3,5,6,9,11,13,14]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]] => [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]] => [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]] => [[1,2,4,6,9,10,12],[3,5,7,8,11,13,14]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]] => [[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]] => [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]] => [[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]] => [[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]] => [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]] => [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]] => [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]] => [[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]] => [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]] => [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]] => [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]] => [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]] => [[1,2,4,7,8,10,12],[3,5,6,9,11,13,14]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]] => [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]] => [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]] => [[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]] => [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13],[2,6,7,8,10,12,14]] => [[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]] => [[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]] => [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]] => [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]] => [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]] => [[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]] => [[1,3,4,6,8,10,13],[2,5,7,9,11,12,14]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]] => [[1,3,4,6,8,11,12],[2,5,7,9,10,13,14]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]] => [[1,3,4,6,8,10,13],[2,5,7,9,11,12,14]]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]] => [[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]] => [[1,3,4,6,9,10,12],[2,5,7,8,11,13,14]]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]] => [[1,3,4,6,8,11,12],[2,5,7,9,10,13,14]]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]] => [[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]] => [[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]] => [[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]] => [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]] => [[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]] => [[1,3,4,6,9,10,12],[2,5,7,8,11,13,14]]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]] => [[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]] => [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]] => [[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]] => [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]] => [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]] => [[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]] => [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]] => [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]] => [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]] => [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]] => [[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13],[2,6,7,8,10,12,14]] => [[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]] => [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13],[4,5,6,8,10,12,14]] => [[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[1,2,3,7,9,11,12],[4,5,6,8,10,13,14]] => [[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[1,2,3,7,9,10,13],[4,5,6,8,11,12,14]] => [[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [[1,2,3,7,9,11,12],[4,5,6,8,10,13,14]] => [[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[1,2,3,7,9,10,11],[4,5,6,8,12,13,14]] => [[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]] => [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [[1,2,3,7,9,10,13],[4,5,6,8,11,12,14]] => [[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[1,2,3,7,9,10,11],[4,5,6,8,12,13,14]] => [[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [[1,2,3,7,9,10,11],[4,5,6,8,12,13,14]] => [[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]] => [[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]] => [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13],[2,6,7,8,10,12,14]] => [[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]] => [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]] => [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13],[5,6,7,8,10,12,14]] => [[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[1,2,3,4,9,11,12],[5,6,7,8,10,13,14]] => [[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [[1,2,3,4,9,11,12],[5,6,7,8,10,13,14]] => [[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]] => [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]] => [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,11,13],[6,7,8,9,10,12,14]] => [[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]] => [[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]] => [[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]] => [[1,2,4,6,8,10,12,14],[3,5,7,9,11,13,15,16]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]] => [[1,2,4,6,8,10,12,15],[3,5,7,9,11,13,14,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]] => [[1,2,4,6,8,10,12,15],[3,5,7,9,11,13,14,16]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]] => [[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]] => [[1,2,4,6,8,11,12,14],[3,5,7,9,10,13,15,16]]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]] => [[1,2,4,6,8,11,12,15],[3,5,7,9,10,13,14,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]] => [[1,2,4,6,8,11,12,15],[3,5,7,9,10,13,14,16]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]] => [[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,9,10,11,15],[2,4,6,8,12,13,14,16]] => [[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]] => [[1,2,4,6,8,11,12,15],[3,5,7,9,10,13,14,16]]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]] => [[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]] => [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,7,8,11,13,14],[2,4,6,9,10,12,15,16]] => [[1,2,4,6,9,10,12,15],[3,5,7,8,11,13,14,16]]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,7,8,11,13,14],[2,4,6,9,10,12,15,16]] => [[1,2,4,6,9,10,12,15],[3,5,7,8,11,13,14,16]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]] => [[1,2,4,6,8,11,12,14],[3,5,7,9,10,13,15,16]]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]] => [[1,2,4,6,8,11,12,15],[3,5,7,9,10,13,14,16]]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]] => [[1,2,4,6,8,11,12,15],[3,5,7,9,10,13,14,16]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,9,10,11,15],[2,4,6,8,12,13,14,16]] => [[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,10,13,14],[2,4,6,8,11,12,15,16]] => [[1,2,4,6,8,11,12,15],[3,5,7,9,10,13,14,16]]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]] => [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,9,10,11,15],[2,4,6,8,12,13,14,16]] => [[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]] => [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]] => [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]] => [[1,2,4,7,8,10,12,15],[3,5,6,9,11,13,14,16]]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]] => [[1,2,4,7,8,10,12,15],[3,5,6,9,11,13,14,16]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,7,8,11,13,14],[2,4,6,9,10,12,15,16]] => [[1,2,4,6,9,10,12,15],[3,5,7,8,11,13,14,16]]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,5,7,8,11,13,14],[2,4,6,9,10,12,15,16]] => [[1,2,4,6,9,10,12,15],[3,5,7,8,11,13,14,16]]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,5,6,7,11,13,15],[2,4,8,9,10,12,14,16]] => [[1,2,4,7,9,10,12,14],[3,5,6,8,11,13,15,16]]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,5,7,8,9,10,11],[2,4,6,12,13,14,15,16]] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]] => [[1,2,5,6,8,10,12,15],[3,4,7,9,11,13,14,16]]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]] => [[1,2,5,6,8,10,12,15],[3,4,7,9,11,13,14,16]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]] => [[1,2,4,7,8,10,12,15],[3,5,6,9,11,13,14,16]]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]] => [[1,2,4,7,8,10,12,15],[3,5,6,9,11,13,14,16]]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,5,6,7,11,13,15],[2,4,8,9,10,12,14,16]] => [[1,2,4,7,9,10,12,14],[3,5,6,8,11,13,15,16]]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15],[2,6,7,8,10,12,14,16]] => [[1,2,5,7,8,10,12,14],[3,4,6,9,11,13,15,16]]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,3,5,6,7,11,13,15],[2,4,8,9,10,12,14,16]] => [[1,2,4,7,9,10,12,14],[3,5,6,8,11,13,15,16]]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]] => [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]] => [[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]] => [[1,3,4,6,8,10,12,15],[2,5,7,9,11,13,14,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]] => [[1,3,4,6,8,10,13,14],[2,5,7,9,11,12,15,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]] => [[1,3,4,6,8,10,12,15],[2,5,7,9,11,13,14,16]]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,11,12,13],[3,4,6,8,10,14,15,16]] => [[1,3,4,6,8,10,13,15],[2,5,7,9,11,12,14,16]]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,5,7,9,10,13,15],[3,4,6,8,11,12,14,16]] => [[1,3,4,6,8,11,12,14],[2,5,7,9,10,13,15,16]]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]] => [[1,3,4,6,8,10,13,14],[2,5,7,9,11,12,15,16]]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,11,12,13],[3,4,6,8,10,14,15,16]] => [[1,3,4,6,8,10,13,15],[2,5,7,9,11,12,14,16]]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,9,11,12,13],[3,4,6,8,10,14,15,16]] => [[1,3,4,6,8,10,13,15],[2,5,7,9,11,12,14,16]]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,2,5,7,9,10,13,15],[3,4,6,8,11,12,14,16]] => [[1,3,4,6,8,11,12,14],[2,5,7,9,10,13,15,16]]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]] => [[1,3,4,6,9,11,13,15],[2,5,7,8,10,12,14,16]]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]] => [[1,3,4,6,9,11,13,15],[2,5,7,8,10,12,14,16]]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]] => [[1,3,4,7,9,10,12,14],[2,5,6,8,11,13,15,16]]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]] => [[1,3,4,6,9,11,13,15],[2,5,7,8,10,12,14,16]]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]] => [[1,3,4,6,9,11,13,15],[2,5,7,8,10,12,14,16]]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,5,7,8,9,10,11],[3,4,6,12,13,14,15,16]] => [[1,3,4,6,9,11,13,15],[2,5,7,8,10,12,14,16]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]] => [[1,2,5,6,8,10,12,15],[3,4,7,9,11,13,14,16]]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]] => [[1,2,5,6,8,10,12,15],[3,4,7,9,11,13,14,16]]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]] => [[1,3,4,7,9,10,12,14],[2,5,6,8,11,13,15,16]]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15],[2,6,7,8,10,12,14,16]] => [[1,2,5,7,8,10,12,14],[3,4,6,9,11,13,15,16]]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]] => [[1,3,4,7,9,10,12,14],[2,5,6,8,11,13,15,16]]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]] => [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15],[4,5,6,8,10,12,14,16]] => [[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,3,7,9,11,13,14],[4,5,6,8,10,12,15,16]] => [[1,3,5,6,8,10,12,15],[2,4,7,9,11,13,14,16]]
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,3,7,9,11,13,14],[4,5,6,8,10,12,15,16]] => [[1,3,5,6,8,10,12,15],[2,4,7,9,11,13,14,16]]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]] => [[1,3,4,7,9,10,12,14],[2,5,6,8,11,13,15,16]]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15],[2,6,7,8,10,12,14,16]] => [[1,2,5,7,8,10,12,14],[3,4,6,9,11,13,15,16]]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]] => [[1,3,4,7,9,10,12,14],[2,5,6,8,11,13,15,16]]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]] => [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13,15],[5,6,7,8,10,12,14,16]] => [[1,3,5,7,8,10,12,14],[2,4,6,9,11,13,15,16]]
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]] => [[1,3,4,7,9,10,12,14],[2,5,6,8,11,13,15,16]]
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]] => [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,11,13,15],[6,7,8,9,10,12,14,16]] => [[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]] => [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]]
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,13,14],[2,8,9,10,11,12,15,16]] => [[1,2,5,7,9,11,12,15],[3,4,6,8,10,13,14,16]]
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,6,13,15],[7,8,9,10,11,12,14,16]] => [[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]] => [[1,3,5,6,9,11,13,14],[2,4,7,8,10,12,15,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,15],[3,4,10,11,12,13,14,16]] => [[1,3,4,7,9,11,13,14],[2,5,6,8,10,12,15,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]] => [[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8],[9,10,11,12,13,14,15,16]] => [[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]] => [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]] => [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]] => [[1,3,5,7,9,11,13,15,17,19,20],[2,4,6,8,10,12,14,16,18,21,22]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,6,7,15,17],[8,9,10,11,12,13,14,16,18]] => [[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]]
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [[1,2,3,4,5,6,7,8,17,19],[9,10,11,12,13,14,15,16,18,20]] => [[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]]
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9],[10,11,12,13,14,15,16,17,18]] => [[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]] => [[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]] => [[1,2,4,6,8,10,12,14,17],[3,5,7,9,11,13,15,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]] => [[1,2,4,6,8,10,12,14,17],[3,5,7,9,11,13,15,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]] => [[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]] => [[1,2,4,6,8,10,12,14,16,19],[3,5,7,9,11,13,15,17,18,20]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]] => [[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]] => [[1,2,4,6,8,10,12,14,16,19],[3,5,7,9,11,13,15,17,18,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,19,20],[2,4,6,8,10,12,14,16,18,21,22]] => [[1,2,4,6,8,10,12,14,16,18,21],[3,5,7,9,11,13,15,17,19,20,22]]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,19,20],[2,4,6,8,10,12,14,16,18,21,22]] => [[1,2,4,6,8,10,12,14,16,18,21],[3,5,7,9,11,13,15,17,19,20,22]]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]] => [[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]] => [[1,2,4,6,9,10,12,14,16],[3,5,7,8,11,13,15,17,18]]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]] => [[1,2,4,7,8,10,12,14,16],[3,5,6,9,11,13,15,17,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]] => [[1,2,5,6,8,10,12,14,17],[3,4,7,9,11,13,15,16,18]]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]] => [[1,2,5,6,9,10,12,14,16],[3,4,7,8,11,13,15,17,18]]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15,17],[2,6,7,8,10,12,14,16,18]] => [[1,2,5,7,8,10,12,14,16],[3,4,6,9,11,13,15,17,18]]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]] => [[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]] => [[1,3,4,6,8,10,12,14,17],[2,5,7,9,11,13,15,16,18]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]] => [[1,3,4,6,8,10,12,15,16],[2,5,7,9,11,13,14,17,18]]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15,17],[4,5,6,8,10,12,14,16,18]] => [[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]]
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13,15,17],[5,6,7,8,10,12,14,16,18]] => [[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,5,11,13,15,17],[6,7,8,9,10,12,14,16,18]] => [[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]] => [[1,3,5,7,9,10,13,15,17],[2,4,6,8,11,12,14,16,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,6,13,15,17],[7,8,9,10,11,12,14,16,18]] => [[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]] => [[1,2,4,6,8,10,13,14,16,18],[3,5,7,9,11,12,15,17,19,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]] => [[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]] => [[1,3,4,6,8,10,12,14,16,19],[2,5,7,9,11,13,15,17,18,20]]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15,17,19],[4,5,6,8,10,12,14,16,18,20]] => [[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]]
[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,9,11,13,15,17,19],[5,6,7,8,10,12,14,16,18,20]] => [[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]]
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,5,11,13,15,17,19],[6,7,8,9,10,12,14,16,18,20]] => [[1,3,5,7,9,10,12,14,16,18],[2,4,6,8,11,13,15,17,19,20]]
[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,5,6,13,15,17,19],[7,8,9,10,11,12,14,16,18,20]] => [[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]]
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,6,7,15,17,19],[8,9,10,11,12,13,14,16,18,20]] => [[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,10],[11,12,13,14,15,16,17,18,19,20]] => [[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]] => [[1,2,5,6,9,10,12,14,16],[3,4,7,8,11,13,15,17,18]]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15,17],[2,6,7,8,10,12,14,16,18]] => [[1,2,5,7,8,10,12,14,16],[3,4,6,9,11,13,15,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]] => [[1,3,4,6,8,10,12,14,16,18,20],[2,5,7,9,11,13,15,17,19,21,22]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]] => [[1,3,4,6,8,10,12,14,17],[2,5,7,9,11,13,15,16,18]]
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]] => [[1,3,4,6,8,10,12,14,16,19],[2,5,7,9,11,13,15,17,18,20]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]] => [[1,2,5,6,8,10,12,14,17],[3,4,7,9,11,13,15,16,18]]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]] => [[1,2,5,6,8,10,12,14,17],[3,4,7,9,11,13,15,16,18]]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]] => [[1,2,5,6,8,10,12,14,17],[3,4,7,9,11,13,15,16,18]]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,4,5,9,11,13,15,17],[2,6,7,8,10,12,14,16,18]] => [[1,2,5,7,8,10,12,14,16],[3,4,6,9,11,13,15,17,18]]
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]]
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]] => [[1,2,5,6,9,10,12,14,16],[3,4,7,8,11,13,15,17,18]]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,8,11,13,15,17],[2,4,6,9,10,12,14,16,18]] => [[1,2,4,6,9,10,12,14,16],[3,5,7,8,11,13,15,17,18]]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]] => [[1,2,5,6,9,10,12,14,16],[3,4,7,8,11,13,15,17,18]]
[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]]
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]] => [[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]]
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]] => [[1,2,4,7,8,10,12,14,16],[3,5,6,9,11,13,15,17,18]]
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]] => [[1,3,4,6,8,10,12,15,16],[2,5,7,9,11,13,14,17,18]]
[1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]] => [[1,2,5,6,9,10,12,14,16],[3,4,7,8,11,13,15,17,18]]
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,7,9,11,12,15,16],[2,4,6,8,10,13,14,17,18]] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]] => [[1,2,4,6,8,10,13,14,16,18],[3,5,7,9,11,12,15,17,19,20]]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]] => [[1,2,5,6,9,10,12,14,16],[3,4,7,8,11,13,15,17,18]]
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,5,6,7,8,9,10,17],[3,4,11,12,13,14,15,16,18]] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]]
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]]
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]] => [[1,3,5,7,9,11,13,15,16,19],[2,4,6,8,10,12,14,17,18,20]]
[1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,3,5,7,8,11,13,15,17,19],[2,4,6,9,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,3,5,7,9,11,13,14,17,19],[2,4,6,8,10,12,15,16,18,20]]
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,3,5,7,9,11,12,15,17,19],[2,4,6,8,10,13,14,16,18,20]]
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,3,5,6,9,11,13,15,17,19],[2,4,7,8,10,12,14,16,18,20]]
[1,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
[1,1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [[1,2,5,7,9,11,13,15,17,19,21],[3,4,6,8,10,12,14,16,18,20,22]]
Map
bounce path
Description
Sends a Dyck path $D$ of length $2n$ to its bounce path.
This path is formed by starting at the endpoint $(n,n)$ of $D$ and travelling west until encountering the first vertical step of $D$, then south until hitting the diagonal, then west again to hit $D$, etc. until the point $(0,0)$ is reached.
This map is the first part of the zeta map Mp00030zeta map.
This path is formed by starting at the endpoint $(n,n)$ of $D$ and travelling west until encountering the first vertical step of $D$, then south until hitting the diagonal, then west again to hit $D$, etc. until the point $(0,0)$ is reached.
This map is the first part of the zeta map Mp00030zeta map.
Map
to two-row standard tableau
Description
Return a standard tableau of shape $(n,n)$ where $n$ is the semilength of the Dyck path.
Given a Dyck path $D$, its image is given by recording the positions of the up-steps in the first row and the positions of the down-steps in the second row.
Given a Dyck path $D$, its image is given by recording the positions of the up-steps in the first row and the positions of the down-steps in the second row.
Map
row-to-column-descents
Description
Return a standard tableau whose column descent set equals the row descent set of the original tableau.
A column descent in a standard tableau is an entry $i$ such that $i+1$ appears in a column to the left of the cell containing $i$, in English notation.
A row descent is an entry $i$ such that $i+1$ appears in a row above of the cell containing $i$.
A column descent in a standard tableau is an entry $i$ such that $i+1$ appears in a column to the left of the cell containing $i$, in English notation.
A row descent is an entry $i$ such that $i+1$ appears in a row above of the cell containing $i$.
searching the database
Sorry, this map was not found in the database.