- FindStat

Identifier

Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00155: Standard tableaux —promotion⟶ Standard tableaux

Images

[1,0] => [[1],[2]] => [[1],[2]]

[1,0,1,0] => [[1,3],[2,4]] => [[1,2],[3,4]]

[1,1,0,0] => [[1,2],[3,4]] => [[1,3],[2,4]]

[1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => [[1,2,4],[3,5,6]]

[1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => [[1,2,5],[3,4,6]]

[1,1,0,0,1,0] => [[1,2,5],[3,4,6]] => [[1,2,3],[4,5,6]]

[1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => [[1,3,5],[2,4,6]]

[1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => [[1,3,4],[2,5,6]]

[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] => [[1,3,5,6],[2,4,7,8]] => [[1,2,4,7],[3,5,6,8]]

[1,0,1,1,0,0,1,0] => [[1,3,4,7],[2,5,6,8]] => [[1,2,4,5],[3,6,7,8]]

[1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => [[1,2,5,7],[3,4,6,8]]

[1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => [[1,2,5,6],[3,4,7,8]]

[1,1,0,0,1,0,1,0] => [[1,2,5,7],[3,4,6,8]] => [[1,2,3,6],[4,5,7,8]]

[1,1,0,0,1,1,0,0] => [[1,2,5,6],[3,4,7,8]] => [[1,2,3,7],[4,5,6,8]]

[1,1,0,1,0,0,1,0] => [[1,2,4,7],[3,5,6,8]] => [[1,2,3,5],[4,6,7,8]]

[1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => [[1,3,5,7],[2,4,6,8]]

[1,1,0,1,1,0,0,0] => [[1,2,4,5],[3,6,7,8]] => [[1,3,5,6],[2,4,7,8]]

[1,1,1,0,0,0,1,0] => [[1,2,3,7],[4,5,6,8]] => [[1,2,3,4],[5,6,7,8]]

[1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => [[1,3,4,7],[2,5,6,8]]

[1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => [[1,3,4,6],[2,5,7,8]]

[1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => [[1,3,4,5],[2,6,7,8]]

[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] => [[1,3,5,7,8],[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] => [[1,3,5,6,9],[2,4,7,8,10]] => [[1,2,4,6,7],[3,5,8,9,10]]

[1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => [[1,2,4,7,9],[3,5,6,8,10]]

[1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => [[1,2,4,7,8],[3,5,6,9,10]]

[1,0,1,1,0,0,1,0,1,0] => [[1,3,4,7,9],[2,5,6,8,10]] => [[1,2,4,5,8],[3,6,7,9,10]]

[1,0,1,1,0,0,1,1,0,0] => [[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,4,5,9],[3,6,7,8,10]]

[1,0,1,1,0,1,0,0,1,0] => [[1,3,4,6,9],[2,5,7,8,10]] => [[1,2,4,5,7],[3,6,8,9,10]]

[1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => [[1,2,5,7,9],[3,4,6,8,10]]

[1,0,1,1,0,1,1,0,0,0] => [[1,3,4,6,7],[2,5,8,9,10]] => [[1,2,5,7,8],[3,4,6,9,10]]

[1,0,1,1,1,0,0,0,1,0] => [[1,3,4,5,9],[2,6,7,8,10]] => [[1,2,4,5,6],[3,7,8,9,10]]

[1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]]

[1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => [[1,2,5,6,8],[3,4,7,9,10]]

[1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,5,6,7],[3,4,8,9,10]]

[1,1,0,0,1,0,1,0,1,0] => [[1,2,5,7,9],[3,4,6,8,10]] => [[1,2,3,6,8],[4,5,7,9,10]]

[1,1,0,0,1,0,1,1,0,0] => [[1,2,5,7,8],[3,4,6,9,10]] => [[1,2,3,6,9],[4,5,7,8,10]]

[1,1,0,0,1,1,0,0,1,0] => [[1,2,5,6,9],[3,4,7,8,10]] => [[1,2,3,6,7],[4,5,8,9,10]]

[1,1,0,0,1,1,0,1,0,0] => [[1,2,5,6,8],[3,4,7,9,10]] => [[1,2,3,7,9],[4,5,6,8,10]]

[1,1,0,0,1,1,1,0,0,0] => [[1,2,5,6,7],[3,4,8,9,10]] => [[1,2,3,7,8],[4,5,6,9,10]]

[1,1,0,1,0,0,1,0,1,0] => [[1,2,4,7,9],[3,5,6,8,10]] => [[1,2,3,5,8],[4,6,7,9,10]]

[1,1,0,1,0,0,1,1,0,0] => [[1,2,4,7,8],[3,5,6,9,10]] => [[1,2,3,5,9],[4,6,7,8,10]]

[1,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,9],[3,5,7,8,10]] => [[1,2,3,5,7],[4,6,8,9,10]]

[1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => [[1,3,5,7,9],[2,4,6,8,10]]

[1,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,7],[3,5,8,9,10]] => [[1,3,5,7,8],[2,4,6,9,10]]

[1,1,0,1,1,0,0,0,1,0] => [[1,2,4,5,9],[3,6,7,8,10]] => [[1,2,3,5,6],[4,7,8,9,10]]

[1,1,0,1,1,0,0,1,0,0] => [[1,2,4,5,8],[3,6,7,9,10]] => [[1,3,5,6,9],[2,4,7,8,10]]

[1,1,0,1,1,0,1,0,0,0] => [[1,2,4,5,7],[3,6,8,9,10]] => [[1,3,5,6,8],[2,4,7,9,10]]

[1,1,0,1,1,1,0,0,0,0] => [[1,2,4,5,6],[3,7,8,9,10]] => [[1,3,5,6,7],[2,4,8,9,10]]

[1,1,1,0,0,0,1,0,1,0] => [[1,2,3,7,9],[4,5,6,8,10]] => [[1,2,3,4,8],[5,6,7,9,10]]

[1,1,1,0,0,0,1,1,0,0] => [[1,2,3,7,8],[4,5,6,9,10]] => [[1,2,3,4,9],[5,6,7,8,10]]

[1,1,1,0,0,1,0,0,1,0] => [[1,2,3,6,9],[4,5,7,8,10]] => [[1,2,3,4,7],[5,6,8,9,10]]

[1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => [[1,3,4,7,9],[2,5,6,8,10]]

[1,1,1,0,0,1,1,0,0,0] => [[1,2,3,6,7],[4,5,8,9,10]] => [[1,3,4,7,8],[2,5,6,9,10]]

[1,1,1,0,1,0,0,0,1,0] => [[1,2,3,5,9],[4,6,7,8,10]] => [[1,2,3,4,6],[5,7,8,9,10]]

[1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => [[1,3,4,6,9],[2,5,7,8,10]]

[1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => [[1,3,4,6,8],[2,5,7,9,10]]

[1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => [[1,3,4,6,7],[2,5,8,9,10]]

[1,1,1,1,0,0,0,0,1,0] => [[1,2,3,4,9],[5,6,7,8,10]] => [[1,2,3,4,5],[6,7,8,9,10]]

[1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => [[1,3,4,5,9],[2,6,7,8,10]]

[1,1,1,1,0,0,1,0,0,0] => [[1,2,3,4,7],[5,6,8,9,10]] => [[1,3,4,5,8],[2,6,7,9,10]]

[1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => [[1,3,4,5,7],[2,6,8,9,10]]

[1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => [[1,3,4,5,6],[2,7,8,9,10]]

[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] => [[1,3,5,7,9,10],[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] => [[1,3,5,7,8,11],[2,4,6,9,10,12]] => [[1,2,4,6,8,9],[3,5,7,10,11,12]]

[1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => [[1,2,4,6,9,11],[3,5,7,8,10,12]]

[1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [[1,2,4,6,9,10],[3,5,7,8,11,12]]

[1,0,1,0,1,1,0,0,1,0,1,0] => [[1,3,5,6,9,11],[2,4,7,8,10,12]] => [[1,2,4,6,7,10],[3,5,8,9,11,12]]

[1,0,1,0,1,1,0,0,1,1,0,0] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,4,6,7,11],[3,5,8,9,10,12]]

[1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,6,8,11],[2,4,7,9,10,12]] => [[1,2,4,6,7,9],[3,5,8,10,11,12]]

[1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => [[1,2,4,7,9,11],[3,5,6,8,10,12]]

[1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,6,8,9],[2,4,7,10,11,12]] => [[1,2,4,7,9,10],[3,5,6,8,11,12]]

[1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [[1,2,4,6,7,8],[3,5,9,10,11,12]]

[1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]

[1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => [[1,2,4,7,8,10],[3,5,6,9,11,12]]

[1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [[1,2,4,7,8,9],[3,5,6,10,11,12]]

[1,0,1,1,0,0,1,0,1,0,1,0] => [[1,3,4,7,9,11],[2,5,6,8,10,12]] => [[1,2,4,5,8,10],[3,6,7,9,11,12]]

[1,0,1,1,0,0,1,0,1,1,0,0] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2,4,5,8,11],[3,6,7,9,10,12]]

[1,0,1,1,0,0,1,1,0,0,1,0] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,2,4,5,8,9],[3,6,7,10,11,12]]

[1,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,4,7,8,10],[2,5,6,9,11,12]] => [[1,2,4,5,9,11],[3,6,7,8,10,12]]

[1,0,1,1,0,0,1,1,1,0,0,0] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,4,5,9,10],[3,6,7,8,11,12]]

[1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,4,6,9,11],[2,5,7,8,10,12]] => [[1,2,4,5,7,10],[3,6,8,9,11,12]]

[1,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,4,6,9,10],[2,5,7,8,11,12]] => [[1,2,4,5,7,11],[3,6,8,9,10,12]]

[1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,11],[2,5,7,9,10,12]] => [[1,2,4,5,7,9],[3,6,8,10,11,12]]

[1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]

[1,0,1,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,9],[2,5,7,10,11,12]] => [[1,2,5,7,9,10],[3,4,6,8,11,12]]

[1,0,1,1,0,1,1,0,0,0,1,0] => [[1,3,4,6,7,11],[2,5,8,9,10,12]] => [[1,2,4,5,7,8],[3,6,9,10,11,12]]

[1,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,4,6,7,10],[2,5,8,9,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]

[1,0,1,1,0,1,1,0,1,0,0,0] => [[1,3,4,6,7,9],[2,5,8,10,11,12]] => [[1,2,5,7,8,10],[3,4,6,9,11,12]]

[1,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,4,6,7,8],[2,5,9,10,11,12]] => [[1,2,5,7,8,9],[3,4,6,10,11,12]]

[1,0,1,1,1,0,0,0,1,0,1,0] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [[1,2,4,5,6,10],[3,7,8,9,11,12]]

[1,0,1,1,1,0,0,0,1,1,0,0] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,4,5,6,11],[3,7,8,9,10,12]]

[1,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,4,5,8,11],[2,6,7,9,10,12]] => [[1,2,4,5,6,9],[3,7,8,10,11,12]]

[1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]

[1,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,4,5,8,9],[2,6,7,10,11,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]

[1,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,11],[2,6,8,9,10,12]] => [[1,2,4,5,6,8],[3,7,9,10,11,12]]

[1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => [[1,2,5,6,8,11],[3,4,7,9,10,12]]

[1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => [[1,2,5,6,8,10],[3,4,7,9,11,12]]

[1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => [[1,2,5,6,8,9],[3,4,7,10,11,12]]

>>> Load all 1165 entries. <<<

[1,0,1,1,1,1,0,0,0,0,1,0] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [[1,2,4,5,6,7],[3,8,9,10,11,12]]

[1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => [[1,2,5,6,7,11],[3,4,8,9,10,12]]

[1,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,4,5,6,9],[2,7,8,10,11,12]] => [[1,2,5,6,7,10],[3,4,8,9,11,12]]

[1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => [[1,2,5,6,7,9],[3,4,8,10,11,12]]

[1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2,5,6,7,8],[3,4,9,10,11,12]]

[1,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11],[3,4,6,8,10,12]] => [[1,2,3,6,8,10],[4,5,7,9,11,12]]

[1,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,10],[3,4,6,8,11,12]] => [[1,2,3,6,8,11],[4,5,7,9,10,12]]

[1,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,8,11],[3,4,6,9,10,12]] => [[1,2,3,6,8,9],[4,5,7,10,11,12]]

[1,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,8,10],[3,4,6,9,11,12]] => [[1,2,3,6,9,11],[4,5,7,8,10,12]]

[1,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [[1,2,3,6,9,10],[4,5,7,8,11,12]]

[1,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [[1,2,3,6,7,10],[4,5,8,9,11,12]]

[1,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,2,3,6,7,11],[4,5,8,9,10,12]]

[1,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,5,6,8,11],[3,4,7,9,10,12]] => [[1,2,3,6,7,9],[4,5,8,10,11,12]]

[1,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,5,6,8,10],[3,4,7,9,11,12]] => [[1,2,3,7,9,11],[4,5,6,8,10,12]]

[1,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,5,6,8,9],[3,4,7,10,11,12]] => [[1,2,3,7,9,10],[4,5,6,8,11,12]]

[1,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,2,3,6,7,8],[4,5,9,10,11,12]]

[1,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,5,6,7,10],[3,4,8,9,11,12]] => [[1,2,3,7,8,11],[4,5,6,9,10,12]]

[1,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,5,6,7,9],[3,4,8,10,11,12]] => [[1,2,3,7,8,10],[4,5,6,9,11,12]]

[1,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,2,3,7,8,9],[4,5,6,10,11,12]]

[1,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,7,9,11],[3,5,6,8,10,12]] => [[1,2,3,5,8,10],[4,6,7,9,11,12]]

[1,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,7,9,10],[3,5,6,8,11,12]] => [[1,2,3,5,8,11],[4,6,7,9,10,12]]

[1,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,7,8,11],[3,5,6,9,10,12]] => [[1,2,3,5,8,9],[4,6,7,10,11,12]]

[1,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,7,8,10],[3,5,6,9,11,12]] => [[1,2,3,5,9,11],[4,6,7,8,10,12]]

[1,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,7,8,9],[3,5,6,10,11,12]] => [[1,2,3,5,9,10],[4,6,7,8,11,12]]

[1,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,9,11],[3,5,7,8,10,12]] => [[1,2,3,5,7,10],[4,6,8,9,11,12]]

[1,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,9,10],[3,5,7,8,11,12]] => [[1,2,3,5,7,11],[4,6,8,9,10,12]]

[1,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,11],[3,5,7,9,10,12]] => [[1,2,3,5,7,9],[4,6,8,10,11,12]]

[1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => [[1,3,5,7,9,11],[2,4,6,8,10,12]]

[1,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,9],[3,5,7,10,11,12]] => [[1,3,5,7,9,10],[2,4,6,8,11,12]]

[1,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,7,11],[3,5,8,9,10,12]] => [[1,2,3,5,7,8],[4,6,9,10,11,12]]

[1,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,7,10],[3,5,8,9,11,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]

[1,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,7,9],[3,5,8,10,11,12]] => [[1,3,5,7,8,10],[2,4,6,9,11,12]]

[1,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,7,8],[3,5,9,10,11,12]] => [[1,3,5,7,8,9],[2,4,6,10,11,12]]

[1,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,5,9,11],[3,6,7,8,10,12]] => [[1,2,3,5,6,10],[4,7,8,9,11,12]]

[1,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,5,9,10],[3,6,7,8,11,12]] => [[1,2,3,5,6,11],[4,7,8,9,10,12]]

[1,1,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,5,8,11],[3,6,7,9,10,12]] => [[1,2,3,5,6,9],[4,7,8,10,11,12]]

[1,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,5,8,10],[3,6,7,9,11,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]

[1,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,5,8,9],[3,6,7,10,11,12]] => [[1,3,5,6,9,10],[2,4,7,8,11,12]]

[1,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,11],[3,6,8,9,10,12]] => [[1,2,3,5,6,8],[4,7,9,10,11,12]]

[1,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,10],[3,6,8,9,11,12]] => [[1,3,5,6,8,11],[2,4,7,9,10,12]]

[1,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9],[3,6,8,10,11,12]] => [[1,3,5,6,8,10],[2,4,7,9,11,12]]

[1,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,5,7,8],[3,6,9,10,11,12]] => [[1,3,5,6,8,9],[2,4,7,10,11,12]]

[1,1,0,1,1,1,0,0,0,0,1,0] => [[1,2,4,5,6,11],[3,7,8,9,10,12]] => [[1,2,3,5,6,7],[4,8,9,10,11,12]]

[1,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,5,6,10],[3,7,8,9,11,12]] => [[1,3,5,6,7,11],[2,4,8,9,10,12]]

[1,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,5,6,9],[3,7,8,10,11,12]] => [[1,3,5,6,7,10],[2,4,8,9,11,12]]

[1,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,5,6,8],[3,7,9,10,11,12]] => [[1,3,5,6,7,9],[2,4,8,10,11,12]]

[1,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,5,6,7],[3,8,9,10,11,12]] => [[1,3,5,6,7,8],[2,4,9,10,11,12]]

[1,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,7,9,11],[4,5,6,8,10,12]] => [[1,2,3,4,8,10],[5,6,7,9,11,12]]

[1,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,2,3,4,8,11],[5,6,7,9,10,12]]

[1,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,2,3,4,8,9],[5,6,7,10,11,12]]

[1,1,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,7,8,10],[4,5,6,9,11,12]] => [[1,2,3,4,9,11],[5,6,7,8,10,12]]

[1,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,2,3,4,9,10],[5,6,7,8,11,12]]

[1,1,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,6,9,11],[4,5,7,8,10,12]] => [[1,2,3,4,7,10],[5,6,8,9,11,12]]

[1,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,6,9,10],[4,5,7,8,11,12]] => [[1,2,3,4,7,11],[5,6,8,9,10,12]]

[1,1,1,0,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,11],[4,5,7,9,10,12]] => [[1,2,3,4,7,9],[5,6,8,10,11,12]]

[1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]

[1,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,3,6,8,9],[4,5,7,10,11,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]

[1,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,6,7,11],[4,5,8,9,10,12]] => [[1,2,3,4,7,8],[5,6,9,10,11,12]]

[1,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,6,7,10],[4,5,8,9,11,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]

[1,1,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,6,7,9],[4,5,8,10,11,12]] => [[1,3,4,7,8,10],[2,5,6,9,11,12]]

[1,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,3,6,7,8],[4,5,9,10,11,12]] => [[1,3,4,7,8,9],[2,5,6,10,11,12]]

[1,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,9,11],[4,6,7,8,10,12]] => [[1,2,3,4,6,10],[5,7,8,9,11,12]]

[1,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,9,10],[4,6,7,8,11,12]] => [[1,2,3,4,6,11],[5,7,8,9,10,12]]

[1,1,1,0,1,0,0,1,0,0,1,0] => [[1,2,3,5,8,11],[4,6,7,9,10,12]] => [[1,2,3,4,6,9],[5,7,8,10,11,12]]

[1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => [[1,3,4,6,9,11],[2,5,7,8,10,12]]

[1,1,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,8,9],[4,6,7,10,11,12]] => [[1,3,4,6,9,10],[2,5,7,8,11,12]]

[1,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,11],[4,6,8,9,10,12]] => [[1,2,3,4,6,8],[5,7,9,10,11,12]]

[1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => [[1,3,4,6,8,11],[2,5,7,9,10,12]]

[1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => [[1,3,4,6,8,10],[2,5,7,9,11,12]]

[1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => [[1,3,4,6,8,9],[2,5,7,10,11,12]]

[1,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,6,11],[4,7,8,9,10,12]] => [[1,2,3,4,6,7],[5,8,9,10,11,12]]

[1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => [[1,3,4,6,7,11],[2,5,8,9,10,12]]

[1,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,6,9],[4,7,8,10,11,12]] => [[1,3,4,6,7,10],[2,5,8,9,11,12]]

[1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => [[1,3,4,6,7,9],[2,5,8,10,11,12]]

[1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,7],[4,8,9,10,11,12]] => [[1,3,4,6,7,8],[2,5,9,10,11,12]]

[1,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,9,11],[5,6,7,8,10,12]] => [[1,2,3,4,5,10],[6,7,8,9,11,12]]

[1,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,2,3,4,5,11],[6,7,8,9,10,12]]

[1,1,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,8,11],[5,6,7,9,10,12]] => [[1,2,3,4,5,9],[6,7,8,10,11,12]]

[1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => [[1,3,4,5,9,11],[2,6,7,8,10,12]]

[1,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,8,9],[5,6,7,10,11,12]] => [[1,3,4,5,9,10],[2,6,7,8,11,12]]

[1,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,7,11],[5,6,8,9,10,12]] => [[1,2,3,4,5,8],[6,7,9,10,11,12]]

[1,1,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,7,10],[5,6,8,9,11,12]] => [[1,3,4,5,8,11],[2,6,7,9,10,12]]

[1,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,7,9],[5,6,8,10,11,12]] => [[1,3,4,5,8,10],[2,6,7,9,11,12]]

[1,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,7,8],[5,6,9,10,11,12]] => [[1,3,4,5,8,9],[2,6,7,10,11,12]]

[1,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,11],[5,7,8,9,10,12]] => [[1,2,3,4,5,7],[6,8,9,10,11,12]]

[1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => [[1,3,4,5,7,11],[2,6,8,9,10,12]]

[1,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,9],[5,7,8,10,11,12]] => [[1,3,4,5,7,10],[2,6,8,9,11,12]]

[1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => [[1,3,4,5,7,9],[2,6,8,10,11,12]]

[1,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,7],[5,8,9,10,11,12]] => [[1,3,4,5,7,8],[2,6,9,10,11,12]]

[1,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,11],[6,7,8,9,10,12]] => [[1,2,3,4,5,6],[7,8,9,10,11,12]]

[1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => [[1,3,4,5,6,11],[2,7,8,9,10,12]]

[1,1,1,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,9],[6,7,8,10,11,12]] => [[1,3,4,5,6,10],[2,7,8,9,11,12]]

[1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => [[1,3,4,5,6,9],[2,7,8,10,11,12]]

[1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7],[6,8,9,10,11,12]] => [[1,3,4,5,6,8],[2,7,9,10,11,12]]

[1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[1,3,4,5,6,7],[2,8,9,10,11,12]]

[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] => [[1,3,5,7,9,11,12],[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] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]] => [[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]]

[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]] => [[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]]

[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]] => [[1,2,4,6,8,11,12],[3,5,7,9,10,13,14]]

[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]] => [[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]]

[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]] => [[1,2,4,6,8,9,13],[3,5,7,10,11,12,14]]

[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]] => [[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]]

[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]] => [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]]

[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]] => [[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]]

[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]] => [[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]]

[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]] => [[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] => [[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]] => [[1,2,4,6,9,10,12],[3,5,7,8,11,13,14]]

[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]] => [[1,2,4,6,9,10,11],[3,5,7,8,12,13,14]]

[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]] => [[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]]

[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]] => [[1,2,4,6,7,10,13],[3,5,8,9,11,12,14]]

[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]] => [[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]]

[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]] => [[1,2,4,6,7,11,13],[3,5,8,9,10,12,14]]

[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]] => [[1,2,4,6,7,11,12],[3,5,8,9,10,13,14]]

[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]] => [[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]]

[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]] => [[1,2,4,6,7,9,13],[3,5,8,10,11,12,14]]

[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]] => [[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]]

[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]]

[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [[1,3,5,6,8,10,11],[2,4,7,9,12,13,14]] => [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]]

[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]] => [[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]]

[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]]

[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]] => [[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]]

[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [[1,3,5,6,8,9,10],[2,4,7,11,12,13,14]] => [[1,2,4,7,9,10,11],[3,5,6,8,12,13,14]]

[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]] => [[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]]

[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]] => [[1,2,4,6,7,8,13],[3,5,9,10,11,12,14]]

[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[1,3,5,6,7,10,13],[2,4,8,9,11,12,14]] => [[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]]

[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]]

[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [[1,3,5,6,7,10,11],[2,4,8,9,12,13,14]] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]]

[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]] => [[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]]

[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]] => [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]]

[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]] => [[1,2,4,7,8,10,12],[3,5,6,9,11,13,14]]

[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,5,6,7,9,10],[2,4,8,11,12,13,14]] => [[1,2,4,7,8,10,11],[3,5,6,9,12,13,14]]

[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]] => [[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]]

[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,5,6,7,8,12],[2,4,9,10,11,13,14]] => [[1,2,4,7,8,9,13],[3,5,6,10,11,12,14]]

[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [[1,3,5,6,7,8,11],[2,4,9,10,12,13,14]] => [[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]]

[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,5,6,7,8,10],[2,4,9,11,12,13,14]] => [[1,2,4,7,8,9,11],[3,5,6,10,12,13,14]]

[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]] => [[1,2,4,7,8,9,10],[3,5,6,11,12,13,14]]

[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]] => [[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]]

[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]] => [[1,2,4,5,8,10,13],[3,6,7,9,11,12,14]]

[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]] => [[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]]

[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]] => [[1,2,4,5,8,11,13],[3,6,7,9,10,12,14]]

[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]] => [[1,2,4,5,8,11,12],[3,6,7,9,10,13,14]]

[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]] => [[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]]

[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]] => [[1,2,4,5,8,9,13],[3,6,7,10,11,12,14]]

[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]] => [[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]]

[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]] => [[1,2,4,5,9,11,13],[3,6,7,8,10,12,14]]

[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [[1,3,4,7,8,10,11],[2,5,6,9,12,13,14]] => [[1,2,4,5,9,11,12],[3,6,7,8,10,13,14]]

[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]] => [[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]]

[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,3,4,7,8,9,12],[2,5,6,10,11,13,14]] => [[1,2,4,5,9,10,13],[3,6,7,8,11,12,14]]

[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [[1,3,4,7,8,9,11],[2,5,6,10,12,13,14]] => [[1,2,4,5,9,10,12],[3,6,7,8,11,13,14]]

[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]] => [[1,2,4,5,9,10,11],[3,6,7,8,12,13,14]]

[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]] => [[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]]

[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]] => [[1,2,4,5,7,10,13],[3,6,8,9,11,12,14]]

[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]] => [[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]]

[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[1,3,4,6,9,10,12],[2,5,7,8,11,13,14]] => [[1,2,4,5,7,11,13],[3,6,8,9,10,12,14]]

[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [[1,3,4,6,9,10,11],[2,5,7,8,12,13,14]] => [[1,2,4,5,7,11,12],[3,6,8,9,10,13,14]]

[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]] => [[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]]

[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[1,3,4,6,8,11,12],[2,5,7,9,10,13,14]] => [[1,2,4,5,7,9,13],[3,6,8,10,11,12,14]]

[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[1,3,4,6,8,10,13],[2,5,7,9,11,12,14]] => [[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]] => [[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]]

[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,10,11],[2,5,7,9,12,13,14]] => [[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]]

[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [[1,3,4,6,8,9,13],[2,5,7,10,11,12,14]] => [[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]]

[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[1,3,4,6,8,9,12],[2,5,7,10,11,13,14]] => [[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]]

[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [[1,3,4,6,8,9,11],[2,5,7,10,12,13,14]] => [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]]

[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[1,3,4,6,8,9,10],[2,5,7,11,12,13,14]] => [[1,2,5,7,9,10,11],[3,4,6,8,12,13,14]]

[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [[1,3,4,6,7,11,13],[2,5,8,9,10,12,14]] => [[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]]

[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [[1,3,4,6,7,11,12],[2,5,8,9,10,13,14]] => [[1,2,4,5,7,8,13],[3,6,9,10,11,12,14]]

[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[1,3,4,6,7,10,13],[2,5,8,9,11,12,14]] => [[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]]

[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[1,3,4,6,7,10,12],[2,5,8,9,11,13,14]] => [[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]]

[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [[1,3,4,6,7,10,11],[2,5,8,9,12,13,14]] => [[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]]

[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [[1,3,4,6,7,9,13],[2,5,8,10,11,12,14]] => [[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]]

[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[1,3,4,6,7,9,12],[2,5,8,10,11,13,14]] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]]

[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [[1,3,4,6,7,9,11],[2,5,8,10,12,13,14]] => [[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]]

[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [[1,3,4,6,7,9,10],[2,5,8,11,12,13,14]] => [[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]]

[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [[1,3,4,6,7,8,13],[2,5,9,10,11,12,14]] => [[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]]

[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [[1,3,4,6,7,8,12],[2,5,9,10,11,13,14]] => [[1,2,5,7,8,9,13],[3,4,6,10,11,12,14]]

[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [[1,3,4,6,7,8,11],[2,5,9,10,12,13,14]] => [[1,2,5,7,8,9,12],[3,4,6,10,11,13,14]]

[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [[1,3,4,6,7,8,10],[2,5,9,11,12,13,14]] => [[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]]

[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]] => [[1,2,5,7,8,9,10],[3,4,6,11,12,13,14]]

[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]] => [[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]]

[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]] => [[1,2,4,5,6,10,13],[3,7,8,9,11,12,14]]

[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]] => [[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]]

[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [[1,3,4,5,9,10,12],[2,6,7,8,11,13,14]] => [[1,2,4,5,6,11,13],[3,7,8,9,10,12,14]]

[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]] => [[1,2,4,5,6,11,12],[3,7,8,9,10,13,14]]

[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[1,3,4,5,8,11,13],[2,6,7,9,10,12,14]] => [[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]]

[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[1,3,4,5,8,11,12],[2,6,7,9,10,13,14]] => [[1,2,4,5,6,9,13],[3,7,8,10,11,12,14]]

[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[1,3,4,5,8,10,13],[2,6,7,9,11,12,14]] => [[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]]

[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,4,5,8,10,12],[2,6,7,9,11,13,14]] => [[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]]

[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [[1,3,4,5,8,10,11],[2,6,7,9,12,13,14]] => [[1,2,5,6,9,11,12],[3,4,7,8,10,13,14]]

[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [[1,3,4,5,8,9,13],[2,6,7,10,11,12,14]] => [[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]]

[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,3,4,5,8,9,12],[2,6,7,10,11,13,14]] => [[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] => [[1,3,4,5,8,9,11],[2,6,7,10,12,13,14]] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]]

[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [[1,3,4,5,8,9,10],[2,6,7,11,12,13,14]] => [[1,2,5,6,9,10,11],[3,4,7,8,12,13,14]]

[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [[1,3,4,5,7,11,13],[2,6,8,9,10,12,14]] => [[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]]

[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [[1,3,4,5,7,11,12],[2,6,8,9,10,13,14]] => [[1,2,4,5,6,8,13],[3,7,9,10,11,12,14]]

[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[1,3,4,5,7,10,13],[2,6,8,9,11,12,14]] => [[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]]

[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[1,3,4,5,7,10,12],[2,6,8,9,11,13,14]] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]]

[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [[1,3,4,5,7,10,11],[2,6,8,9,12,13,14]] => [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]]

[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,9,13],[2,6,8,10,11,12,14]] => [[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]]

[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,9,12],[2,6,8,10,11,13,14]] => [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]]

[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11],[2,6,8,10,12,13,14]] => [[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]]

[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,9,10],[2,6,8,11,12,13,14]] => [[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]]

[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [[1,3,4,5,7,8,13],[2,6,9,10,11,12,14]] => [[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]]

[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [[1,3,4,5,7,8,12],[2,6,9,10,11,13,14]] => [[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]]

[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [[1,3,4,5,7,8,11],[2,6,9,10,12,13,14]] => [[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]]

[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]] => [[1,2,5,6,8,9,11],[3,4,7,10,12,13,14]]

[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]] => [[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]]

[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]] => [[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]]

[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]] => [[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]

[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [[1,3,4,5,6,10,13],[2,7,8,9,11,12,14]] => [[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]]

[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[1,3,4,5,6,10,12],[2,7,8,9,11,13,14]] => [[1,2,5,6,7,11,13],[3,4,8,9,10,12,14]]

[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [[1,3,4,5,6,10,11],[2,7,8,9,12,13,14]] => [[1,2,5,6,7,11,12],[3,4,8,9,10,13,14]]

[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [[1,3,4,5,6,9,13],[2,7,8,10,11,12,14]] => [[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]]

[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[1,3,4,5,6,9,12],[2,7,8,10,11,13,14]] => [[1,2,5,6,7,10,13],[3,4,8,9,11,12,14]]

[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [[1,3,4,5,6,9,11],[2,7,8,10,12,13,14]] => [[1,2,5,6,7,10,12],[3,4,8,9,11,13,14]]

[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]] => [[1,2,5,6,7,10,11],[3,4,8,9,12,13,14]]

[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [[1,3,4,5,6,8,13],[2,7,9,10,11,12,14]] => [[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]]

[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [[1,3,4,5,6,8,12],[2,7,9,10,11,13,14]] => [[1,2,5,6,7,9,13],[3,4,8,10,11,12,14]]

[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]] => [[1,2,5,6,7,9,12],[3,4,8,10,11,13,14]]

[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]] => [[1,2,5,6,7,9,11],[3,4,8,10,12,13,14]]

[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]] => [[1,2,5,6,7,9,10],[3,4,8,11,12,13,14]]

[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]] => [[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]]

[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]] => [[1,2,5,6,7,8,13],[3,4,9,10,11,12,14]]

[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]] => [[1,2,5,6,7,8,12],[3,4,9,10,11,13,14]]

[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]] => [[1,2,5,6,7,8,11],[3,4,9,10,12,13,14]]

[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]] => [[1,2,5,6,7,8,10],[3,4,9,11,12,13,14]]

[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]] => [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]

[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]] => [[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]]

[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]] => [[1,2,3,6,8,10,13],[4,5,7,9,11,12,14]]

[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]] => [[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]]

[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]] => [[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]]

[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]] => [[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]]

[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]] => [[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]]

[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]] => [[1,2,3,6,8,9,13],[4,5,7,10,11,12,14]]

[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]] => [[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]]

[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,2,5,7,8,10,12],[3,4,6,9,11,13,14]] => [[1,2,3,6,9,11,13],[4,5,7,8,10,12,14]]

[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [[1,2,5,7,8,10,11],[3,4,6,9,12,13,14]] => [[1,2,3,6,9,11,12],[4,5,7,8,10,13,14]]

[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]] => [[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]]

[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[1,2,5,7,8,9,12],[3,4,6,10,11,13,14]] => [[1,2,3,6,9,10,13],[4,5,7,8,11,12,14]]

[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]] => [[1,2,3,6,9,10,12],[4,5,7,8,11,13,14]]

[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]] => [[1,2,3,6,9,10,11],[4,5,7,8,12,13,14]]

[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]] => [[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]]

[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]] => [[1,2,3,6,7,10,13],[4,5,8,9,11,12,14]]

[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]] => [[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]]

[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]] => [[1,2,3,6,7,11,13],[4,5,8,9,10,12,14]]

[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]] => [[1,2,3,6,7,11,12],[4,5,8,9,10,13,14]]

[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]] => [[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]]

[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]] => [[1,2,3,6,7,9,13],[4,5,8,10,11,12,14]]

[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[1,2,5,6,8,10,13],[3,4,7,9,11,12,14]] => [[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]]

[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,8,10,12],[3,4,7,9,11,13,14]] => [[1,2,3,7,9,11,13],[4,5,6,8,10,12,14]]

[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [[1,2,5,6,8,10,11],[3,4,7,9,12,13,14]] => [[1,2,3,7,9,11,12],[4,5,6,8,10,13,14]]

[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]] => [[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]]

[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[1,2,5,6,8,9,12],[3,4,7,10,11,13,14]] => [[1,2,3,7,9,10,13],[4,5,6,8,11,12,14]]

[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [[1,2,5,6,8,9,10],[3,4,7,11,12,13,14]] => [[1,2,3,7,9,10,11],[4,5,6,8,12,13,14]]

[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]] => [[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]]

[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]] => [[1,2,3,6,7,8,13],[4,5,9,10,11,12,14]]

[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[1,2,5,6,7,10,13],[3,4,8,9,11,12,14]] => [[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]]

[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[1,2,5,6,7,10,12],[3,4,8,9,11,13,14]] => [[1,2,3,7,8,11,13],[4,5,6,9,10,12,14]]

[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [[1,2,5,6,7,10,11],[3,4,8,9,12,13,14]] => [[1,2,3,7,8,11,12],[4,5,6,9,10,13,14]]

[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [[1,2,5,6,7,9,13],[3,4,8,10,11,12,14]] => [[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]]

[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[1,2,5,6,7,9,12],[3,4,8,10,11,13,14]] => [[1,2,3,7,8,10,13],[4,5,6,9,11,12,14]]

[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,5,6,7,9,11],[3,4,8,10,12,13,14]] => [[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]]

[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [[1,2,5,6,7,9,10],[3,4,8,11,12,13,14]] => [[1,2,3,7,8,10,11],[4,5,6,9,12,13,14]]

[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]] => [[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]]

[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [[1,2,5,6,7,8,12],[3,4,9,10,11,13,14]] => [[1,2,3,7,8,9,13],[4,5,6,10,11,12,14]]

[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [[1,2,5,6,7,8,11],[3,4,9,10,12,13,14]] => [[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]]

[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,5,6,7,8,10],[3,4,9,11,12,13,14]] => [[1,2,3,7,8,9,11],[4,5,6,10,12,13,14]]

[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]] => [[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13],[3,5,6,8,10,12,14]] => [[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]]

[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,4,7,9,11,12],[3,5,6,8,10,13,14]] => [[1,2,3,5,8,10,13],[4,6,7,9,11,12,14]]

[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[1,2,4,7,9,10,13],[3,5,6,8,11,12,14]] => [[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]]

[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[1,2,4,7,9,10,12],[3,5,6,8,11,13,14]] => [[1,2,3,5,8,11,13],[4,6,7,9,10,12,14]]

[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,4,7,9,10,11],[3,5,6,8,12,13,14]] => [[1,2,3,5,8,11,12],[4,6,7,9,10,13,14]]

[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[1,2,4,7,8,11,13],[3,5,6,9,10,12,14]] => [[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]]

[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[1,2,4,7,8,11,12],[3,5,6,9,10,13,14]] => [[1,2,3,5,8,9,13],[4,6,7,10,11,12,14]]

[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[1,2,4,7,8,10,13],[3,5,6,9,11,12,14]] => [[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]]

[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[1,2,4,7,8,10,12],[3,5,6,9,11,13,14]] => [[1,2,3,5,9,11,13],[4,6,7,8,10,12,14]]

[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [[1,2,4,7,8,10,11],[3,5,6,9,12,13,14]] => [[1,2,3,5,9,11,12],[4,6,7,8,10,13,14]]

[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [[1,2,4,7,8,9,13],[3,5,6,10,11,12,14]] => [[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]]

[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[1,2,4,7,8,9,12],[3,5,6,10,11,13,14]] => [[1,2,3,5,9,10,13],[4,6,7,8,11,12,14]]

[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [[1,2,4,7,8,9,11],[3,5,6,10,12,13,14]] => [[1,2,3,5,9,10,12],[4,6,7,8,11,13,14]]

[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,4,7,8,9,10],[3,5,6,11,12,13,14]] => [[1,2,3,5,9,10,11],[4,6,7,8,12,13,14]]

[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13],[3,5,7,8,10,12,14]] => [[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]]

[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,6,9,11,12],[3,5,7,8,10,13,14]] => [[1,2,3,5,7,10,13],[4,6,8,9,11,12,14]]

[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[1,2,4,6,9,10,13],[3,5,7,8,11,12,14]] => [[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]]

[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[1,2,4,6,9,10,12],[3,5,7,8,11,13,14]] => [[1,2,3,5,7,11,13],[4,6,8,9,10,12,14]]

[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,6,9,10,11],[3,5,7,8,12,13,14]] => [[1,2,3,5,7,11,12],[4,6,8,9,10,13,14]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,11,13],[3,5,7,9,10,12,14]] => [[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]]

[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,11,12],[3,5,7,9,10,13,14]] => [[1,2,3,5,7,9,13],[4,6,8,10,11,12,14]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,13],[3,5,7,9,11,12,14]] => [[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]] => [[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]]

[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]] => [[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]]

[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,8,9,13],[3,5,7,10,11,12,14]] => [[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]]

[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]] => [[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]]

[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]] => [[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]]

[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]] => [[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]]

[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,6,7,11,13],[3,5,8,9,10,12,14]] => [[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]]

[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [[1,2,4,6,7,11,12],[3,5,8,9,10,13,14]] => [[1,2,3,5,7,8,13],[4,6,9,10,11,12,14]]

[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[1,2,4,6,7,10,13],[3,5,8,9,11,12,14]] => [[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]]

[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]] => [[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]]

[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]] => [[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]]

[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,6,7,9,13],[3,5,8,10,11,12,14]] => [[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]]

[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]] => [[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]]

[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]] => [[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]]

[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]] => [[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]]

[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[1,2,4,6,7,8,13],[3,5,9,10,11,12,14]] => [[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]]

[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]] => [[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]]

[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]] => [[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]]

[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]] => [[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]]

[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]] => [[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]]

[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,5,9,11,13],[3,6,7,8,10,12,14]] => [[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]]

[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [[1,2,4,5,9,11,12],[3,6,7,8,10,13,14]] => [[1,2,3,5,6,10,13],[4,7,8,9,11,12,14]]

[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [[1,2,4,5,9,10,13],[3,6,7,8,11,12,14]] => [[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]]

[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [[1,2,4,5,9,10,12],[3,6,7,8,11,13,14]] => [[1,2,3,5,6,11,13],[4,7,8,9,10,12,14]]

[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [[1,2,4,5,9,10,11],[3,6,7,8,12,13,14]] => [[1,2,3,5,6,11,12],[4,7,8,9,10,13,14]]

[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[1,2,4,5,8,11,13],[3,6,7,9,10,12,14]] => [[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]]

[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[1,2,4,5,8,11,12],[3,6,7,9,10,13,14]] => [[1,2,3,5,6,9,13],[4,7,8,10,11,12,14]]

[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[1,2,4,5,8,10,13],[3,6,7,9,11,12,14]] => [[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]]

[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]] => [[1,3,5,6,9,11,13],[2,4,7,8,10,12,14]]

[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]] => [[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]]

[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [[1,2,4,5,8,9,13],[3,6,7,10,11,12,14]] => [[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]]

[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]] => [[1,3,5,6,9,10,13],[2,4,7,8,11,12,14]]

[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]] => [[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]]

[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]] => [[1,3,5,6,9,10,11],[2,4,7,8,12,13,14]]

[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,5,7,11,13],[3,6,8,9,10,12,14]] => [[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]]

[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [[1,2,4,5,7,11,12],[3,6,8,9,10,13,14]] => [[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]

[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[1,2,4,5,7,10,13],[3,6,8,9,11,12,14]] => [[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]]

[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]] => [[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]]

[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]] => [[1,3,5,6,8,11,12],[2,4,7,9,10,13,14]]

[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,9,13],[3,6,8,10,11,12,14]] => [[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]]

[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]] => [[1,3,5,6,8,10,13],[2,4,7,9,11,12,14]]

[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]] => [[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]]

[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]] => [[1,3,5,6,8,10,11],[2,4,7,9,12,13,14]]

[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [[1,2,4,5,7,8,13],[3,6,9,10,11,12,14]] => [[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]]

[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]] => [[1,3,5,6,8,9,13],[2,4,7,10,11,12,14]]

[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]] => [[1,3,5,6,8,9,12],[2,4,7,10,11,13,14]]

[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]] => [[1,3,5,6,8,9,11],[2,4,7,10,12,13,14]]

[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]] => [[1,3,5,6,8,9,10],[2,4,7,11,12,13,14]]

[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,4,5,6,11,13],[3,7,8,9,10,12,14]] => [[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]]

[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [[1,2,4,5,6,11,12],[3,7,8,9,10,13,14]] => [[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]

[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [[1,2,4,5,6,10,13],[3,7,8,9,11,12,14]] => [[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]]

[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]] => [[1,3,5,6,7,11,13],[2,4,8,9,10,12,14]]

[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]] => [[1,3,5,6,7,11,12],[2,4,8,9,10,13,14]]

[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [[1,2,4,5,6,9,13],[3,7,8,10,11,12,14]] => [[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]]

[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]] => [[1,3,5,6,7,10,13],[2,4,8,9,11,12,14]]

[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]] => [[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]]

[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]] => [[1,3,5,6,7,10,11],[2,4,8,9,12,13,14]]

[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [[1,2,4,5,6,8,13],[3,7,9,10,11,12,14]] => [[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]]

[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]] => [[1,3,5,6,7,9,13],[2,4,8,10,11,12,14]]

[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]] => [[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]]

[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]] => [[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]]

[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]] => [[1,3,5,6,7,9,10],[2,4,8,11,12,13,14]]

[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]] => [[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]]

[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]] => [[1,3,5,6,7,8,13],[2,4,9,10,11,12,14]]

[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]] => [[1,3,5,6,7,8,12],[2,4,9,10,11,13,14]]

[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]] => [[1,3,5,6,7,8,11],[2,4,9,10,12,13,14]]

[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]] => [[1,3,5,6,7,8,10],[2,4,9,11,12,13,14]]

[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]] => [[1,3,5,6,7,8,9],[2,4,10,11,12,13,14]]

[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]] => [[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]]

[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]] => [[1,2,3,4,8,10,13],[5,6,7,9,11,12,14]]

[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]] => [[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]]

[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]] => [[1,2,3,4,8,11,13],[5,6,7,9,10,12,14]]

[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]] => [[1,2,3,4,8,11,12],[5,6,7,9,10,13,14]]

[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]] => [[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]]

[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]] => [[1,2,3,4,8,9,13],[5,6,7,10,11,12,14]]

[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [[1,2,3,7,8,10,13],[4,5,6,9,11,12,14]] => [[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]]

[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]] => [[1,2,3,4,9,11,13],[5,6,7,8,10,12,14]]

[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [[1,2,3,7,8,10,11],[4,5,6,9,12,13,14]] => [[1,2,3,4,9,11,12],[5,6,7,8,10,13,14]]

[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]] => [[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]]

[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]] => [[1,2,3,4,9,10,13],[5,6,7,8,11,12,14]]

[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,7,8,9,11],[4,5,6,10,12,13,14]] => [[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]]

[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]] => [[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]]

[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,6,9,11,13],[4,5,7,8,10,12,14]] => [[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]]

[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[1,2,3,6,9,11,12],[4,5,7,8,10,13,14]] => [[1,2,3,4,7,10,13],[5,6,8,9,11,12,14]]

[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[1,2,3,6,9,10,13],[4,5,7,8,11,12,14]] => [[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]]

[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[1,2,3,6,9,10,12],[4,5,7,8,11,13,14]] => [[1,2,3,4,7,11,13],[5,6,8,9,10,12,14]]

[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [[1,2,3,6,9,10,11],[4,5,7,8,12,13,14]] => [[1,2,3,4,7,11,12],[5,6,8,9,10,13,14]]

[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[1,2,3,6,8,11,13],[4,5,7,9,10,12,14]] => [[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]]

[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[1,2,3,6,8,11,12],[4,5,7,9,10,13,14]] => [[1,2,3,4,7,9,13],[5,6,8,10,11,12,14]]

[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,10,13],[4,5,7,9,11,12,14]] => [[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]]

[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]] => [[1,3,4,7,9,11,13],[2,5,6,8,10,12,14]]

[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]] => [[1,3,4,7,9,11,12],[2,5,6,8,10,13,14]]

[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [[1,2,3,6,8,9,13],[4,5,7,10,11,12,14]] => [[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]]

[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]] => [[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]]

[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]] => [[1,3,4,7,9,10,12],[2,5,6,8,11,13,14]]

[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]] => [[1,3,4,7,9,10,11],[2,5,6,8,12,13,14]]

[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [[1,2,3,6,7,11,13],[4,5,8,9,10,12,14]] => [[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]]

[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [[1,2,3,6,7,11,12],[4,5,8,9,10,13,14]] => [[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]

[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[1,2,3,6,7,10,13],[4,5,8,9,11,12,14]] => [[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]]

[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]] => [[1,3,4,7,8,11,13],[2,5,6,9,10,12,14]]

[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]] => [[1,3,4,7,8,11,12],[2,5,6,9,10,13,14]]

[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [[1,2,3,6,7,9,13],[4,5,8,10,11,12,14]] => [[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]]

[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]] => [[1,3,4,7,8,10,13],[2,5,6,9,11,12,14]]

[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]] => [[1,3,4,7,8,10,12],[2,5,6,9,11,13,14]]

[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]] => [[1,3,4,7,8,10,11],[2,5,6,9,12,13,14]]

[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [[1,2,3,6,7,8,13],[4,5,9,10,11,12,14]] => [[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]]

[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]] => [[1,3,4,7,8,9,13],[2,5,6,10,11,12,14]]

[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]] => [[1,3,4,7,8,9,12],[2,5,6,10,11,13,14]]

[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]] => [[1,3,4,7,8,9,11],[2,5,6,10,12,13,14]]

[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]] => [[1,3,4,7,8,9,10],[2,5,6,11,12,13,14]]

[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,5,9,11,13],[4,6,7,8,10,12,14]] => [[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]]

[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,5,9,11,12],[4,6,7,8,10,13,14]] => [[1,2,3,4,6,10,13],[5,7,8,9,11,12,14]]

[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [[1,2,3,5,9,10,13],[4,6,7,8,11,12,14]] => [[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]]

[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [[1,2,3,5,9,10,12],[4,6,7,8,11,13,14]] => [[1,2,3,4,6,11,13],[5,7,8,9,10,12,14]]

[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,5,9,10,11],[4,6,7,8,12,13,14]] => [[1,2,3,4,6,11,12],[5,7,8,9,10,13,14]]

[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,5,8,11,13],[4,6,7,9,10,12,14]] => [[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]]

[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,5,8,11,12],[4,6,7,9,10,13,14]] => [[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]

[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[1,2,3,5,8,10,13],[4,6,7,9,11,12,14]] => [[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]]

[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]] => [[1,3,4,6,9,11,13],[2,5,7,8,10,12,14]]

[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]] => [[1,3,4,6,9,11,12],[2,5,7,8,10,13,14]]

[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [[1,2,3,5,8,9,13],[4,6,7,10,11,12,14]] => [[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]]

[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]] => [[1,3,4,6,9,10,13],[2,5,7,8,11,12,14]]

[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]] => [[1,3,4,6,9,10,12],[2,5,7,8,11,13,14]]

[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]] => [[1,3,4,6,9,10,11],[2,5,7,8,12,13,14]]

[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,7,11,13],[4,6,8,9,10,12,14]] => [[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]]

[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,7,11,12],[4,6,8,9,10,13,14]] => [[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]

[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[1,2,3,5,7,10,13],[4,6,8,9,11,12,14]] => [[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]]

[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]] => [[1,3,4,6,8,11,13],[2,5,7,9,10,12,14]]

[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]] => [[1,3,4,6,8,11,12],[2,5,7,9,10,13,14]]

[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,13],[4,6,8,10,11,12,14]] => [[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]]

[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]] => [[1,3,4,6,8,10,13],[2,5,7,9,11,12,14]]

[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]] => [[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]]

[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]] => [[1,3,4,6,8,10,11],[2,5,7,9,12,13,14]]

[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [[1,2,3,5,7,8,13],[4,6,9,10,11,12,14]] => [[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]]

[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]] => [[1,3,4,6,8,9,13],[2,5,7,10,11,12,14]]

[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]] => [[1,3,4,6,8,9,12],[2,5,7,10,11,13,14]]

[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]] => [[1,3,4,6,8,9,11],[2,5,7,10,12,13,14]]

[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]] => [[1,3,4,6,8,9,10],[2,5,7,11,12,13,14]]

[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [[1,2,3,5,6,11,13],[4,7,8,9,10,12,14]] => [[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]]

[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,5,6,11,12],[4,7,8,9,10,13,14]] => [[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]

[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [[1,2,3,5,6,10,13],[4,7,8,9,11,12,14]] => [[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]]

[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]] => [[1,3,4,6,7,11,13],[2,5,8,9,10,12,14]]

[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]] => [[1,3,4,6,7,11,12],[2,5,8,9,10,13,14]]

[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [[1,2,3,5,6,9,13],[4,7,8,10,11,12,14]] => [[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]]

[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]] => [[1,3,4,6,7,10,13],[2,5,8,9,11,12,14]]

[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]] => [[1,3,4,6,7,10,12],[2,5,8,9,11,13,14]]

[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]] => [[1,3,4,6,7,10,11],[2,5,8,9,12,13,14]]

[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]] => [[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]]

[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]] => [[1,3,4,6,7,9,13],[2,5,8,10,11,12,14]]

[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]] => [[1,3,4,6,7,9,12],[2,5,8,10,11,13,14]]

[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]] => [[1,3,4,6,7,9,11],[2,5,8,10,12,13,14]]

[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]] => [[1,3,4,6,7,9,10],[2,5,8,11,12,13,14]]

[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]] => [[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]]

[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]] => [[1,3,4,6,7,8,13],[2,5,9,10,11,12,14]]

[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]] => [[1,3,4,6,7,8,12],[2,5,9,10,11,13,14]]

[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]] => [[1,3,4,6,7,8,11],[2,5,9,10,12,13,14]]

[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]] => [[1,3,4,6,7,8,10],[2,5,9,11,12,13,14]]

[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]] => [[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]

[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]] => [[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]]

[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]] => [[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]

[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]] => [[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]]

[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]] => [[1,2,3,4,5,11,13],[6,7,8,9,10,12,14]]

[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]] => [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]

[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [[1,2,3,4,8,11,13],[5,6,7,9,10,12,14]] => [[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]]

[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [[1,2,3,4,8,11,12],[5,6,7,9,10,13,14]] => [[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]

[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [[1,2,3,4,8,10,13],[5,6,7,9,11,12,14]] => [[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]]

[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]] => [[1,3,4,5,9,11,13],[2,6,7,8,10,12,14]]

[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]] => [[1,3,4,5,9,11,12],[2,6,7,8,10,13,14]]

[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [[1,2,3,4,8,9,13],[5,6,7,10,11,12,14]] => [[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]]

[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]] => [[1,3,4,5,9,10,13],[2,6,7,8,11,12,14]]

[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]] => [[1,3,4,5,9,10,12],[2,6,7,8,11,13,14]]

[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]] => [[1,3,4,5,9,10,11],[2,6,7,8,12,13,14]]

[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [[1,2,3,4,7,11,13],[5,6,8,9,10,12,14]] => [[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]]

[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [[1,2,3,4,7,11,12],[5,6,8,9,10,13,14]] => [[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]

[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[1,2,3,4,7,10,13],[5,6,8,9,11,12,14]] => [[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]]

[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]] => [[1,3,4,5,8,11,13],[2,6,7,9,10,12,14]]

[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]] => [[1,3,4,5,8,11,12],[2,6,7,9,10,13,14]]

[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [[1,2,3,4,7,9,13],[5,6,8,10,11,12,14]] => [[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]]

[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]] => [[1,3,4,5,8,10,13],[2,6,7,9,11,12,14]]

[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]] => [[1,3,4,5,8,10,12],[2,6,7,9,11,13,14]]

[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]] => [[1,3,4,5,8,10,11],[2,6,7,9,12,13,14]]

[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]] => [[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]]

[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]] => [[1,3,4,5,8,9,13],[2,6,7,10,11,12,14]]

[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]] => [[1,3,4,5,8,9,12],[2,6,7,10,11,13,14]]

[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]] => [[1,3,4,5,8,9,11],[2,6,7,10,12,13,14]]

[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]] => [[1,3,4,5,8,9,10],[2,6,7,11,12,13,14]]

[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [[1,2,3,4,6,11,13],[5,7,8,9,10,12,14]] => [[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]]

[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,6,11,12],[5,7,8,9,10,13,14]] => [[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]

[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [[1,2,3,4,6,10,13],[5,7,8,9,11,12,14]] => [[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]]

[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]] => [[1,3,4,5,7,11,13],[2,6,8,9,10,12,14]]

[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]] => [[1,3,4,5,7,11,12],[2,6,8,9,10,13,14]]

[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]] => [[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]]

[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]] => [[1,3,4,5,7,10,13],[2,6,8,9,11,12,14]]

[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]] => [[1,3,4,5,7,10,12],[2,6,8,9,11,13,14]]

[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]] => [[1,3,4,5,7,10,11],[2,6,8,9,12,13,14]]

[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]] => [[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]]

[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]] => [[1,3,4,5,7,9,13],[2,6,8,10,11,12,14]]

[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]] => [[1,3,4,5,7,9,12],[2,6,8,10,11,13,14]]

[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]] => [[1,3,4,5,7,9,11],[2,6,8,10,12,13,14]]

[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]] => [[1,3,4,5,7,9,10],[2,6,8,11,12,13,14]]

[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]] => [[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]]

[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]] => [[1,3,4,5,7,8,13],[2,6,9,10,11,12,14]]

[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]] => [[1,3,4,5,7,8,12],[2,6,9,10,11,13,14]]

[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]] => [[1,3,4,5,7,8,11],[2,6,9,10,12,13,14]]

[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]] => [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]

[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]] => [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]

[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]] => [[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]]

[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]] => [[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]

[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]] => [[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]]

[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]] => [[1,3,4,5,6,11,13],[2,7,8,9,10,12,14]]

[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]] => [[1,3,4,5,6,11,12],[2,7,8,9,10,13,14]]

[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]] => [[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]]

[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]] => [[1,3,4,5,6,10,13],[2,7,8,9,11,12,14]]

[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]] => [[1,3,4,5,6,10,12],[2,7,8,9,11,13,14]]

[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]] => [[1,3,4,5,6,10,11],[2,7,8,9,12,13,14]]

[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]] => [[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]]

[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]] => [[1,3,4,5,6,9,13],[2,7,8,10,11,12,14]]

[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]] => [[1,3,4,5,6,9,12],[2,7,8,10,11,13,14]]

[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]] => [[1,3,4,5,6,9,11],[2,7,8,10,12,13,14]]

[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]] => [[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]

[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]] => [[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]]

[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]] => [[1,3,4,5,6,8,13],[2,7,9,10,11,12,14]]

[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]] => [[1,3,4,5,6,8,12],[2,7,9,10,11,13,14]]

[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]] => [[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]

[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]] => [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]

[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]] => [[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]

[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]] => [[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]]

[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]] => [[1,3,4,5,6,7,13],[2,8,9,10,11,12,14]]

[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]] => [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]

[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]] => [[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]

[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]] => [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]

[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]] => [[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]

[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]] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]

[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] => [[1,3,5,7,9,11,13,14],[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] => [[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]] => [[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]]

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]] => [[1,2,4,6,8,10,13,14],[3,5,7,9,11,12,15,16]]

[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]] => [[1,2,4,6,8,10,11,14],[3,5,7,9,12,13,15,16]]

[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]] => [[1,2,4,6,8,10,11,15],[3,5,7,9,12,13,14,16]]

[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,3,5,7,9,10,12,15],[2,4,6,8,11,13,14,16]] => [[1,2,4,6,8,10,11,13],[3,5,7,9,12,14,15,16]]

[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]] => [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]]

[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [[1,3,5,7,9,10,12,13],[2,4,6,8,11,14,15,16]] => [[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]]

[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [[1,3,5,7,9,10,11,15],[2,4,6,8,12,13,14,16]] => [[1,2,4,6,8,10,11,12],[3,5,7,9,13,14,15,16]]

[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,10,11,14],[2,4,6,8,12,13,15,16]] => [[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] => [[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]] => [[1,2,4,6,8,11,12,14],[3,5,7,9,10,13,15,16]]

[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]] => [[1,2,4,6,8,11,12,13],[3,5,7,9,10,14,15,16]]

[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]] => [[1,2,4,6,8,9,12,15],[3,5,7,10,11,13,14,16]]

[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14],[2,4,6,9,11,13,15,16]] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]]

[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,5,7,8,9,12,14],[2,4,6,10,11,13,15,16]] => [[1,2,4,6,9,10,13,15],[3,5,7,8,11,12,14,16]]

[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,5,7,8,9,11,14],[2,4,6,10,12,13,15,16]] => [[1,2,4,6,9,10,12,15],[3,5,7,8,11,13,14,16]]

[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,5,7,8,9,10,14],[2,4,6,11,12,13,15,16]] => [[1,2,4,6,9,10,11,15],[3,5,7,8,12,13,14,16]]

[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]] => [[1,2,4,6,9,10,11,12],[3,5,7,8,13,14,15,16]]

[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]] => [[1,2,4,6,7,10,12,15],[3,5,8,9,11,13,14,16]]

[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,9,11,12,14],[2,4,7,8,10,13,15,16]] => [[1,2,4,6,7,10,13,15],[3,5,8,9,11,12,14,16]]

[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,9,10,12,14],[2,4,7,8,11,13,15,16]] => [[1,2,4,6,7,11,13,15],[3,5,8,9,10,12,14,16]]

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]]

[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,5,6,8,10,12,13],[2,4,7,9,11,14,15,16]] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]]

[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]] => [[1,2,4,6,7,8,12,14],[3,5,9,10,11,13,15,16]]

[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,5,6,7,10,12,14],[2,4,8,9,11,13,15,16]] => [[1,2,4,7,8,11,13,15],[3,5,6,9,10,12,14,16]]

[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[1,3,5,6,7,9,12,14],[2,4,8,10,11,13,15,16]] => [[1,2,4,7,8,10,13,15],[3,5,6,9,11,12,14,16]]

[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[1,3,5,6,7,9,11,14],[2,4,8,10,12,13,15,16]] => [[1,2,4,7,8,10,12,15],[3,5,6,9,11,13,14,16]]

[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [[1,3,5,6,7,8,12,14],[2,4,9,10,11,13,15,16]] => [[1,2,4,7,8,9,13,15],[3,5,6,10,11,12,14,16]]

[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,5,6,7,8,10,12],[2,4,9,11,13,14,15,16]] => [[1,2,4,7,8,9,11,13],[3,5,6,10,12,14,15,16]]

[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]] => [[1,2,4,6,7,8,9,10],[3,5,11,12,13,14,15,16]]

[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,5,6,7,8,9,12],[2,4,10,11,13,14,15,16]] => [[1,2,4,7,8,9,10,13],[3,5,6,11,12,14,15,16]]

[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,3,5,6,7,8,9,11],[2,4,10,12,13,14,15,16]] => [[1,2,4,7,8,9,10,12],[3,5,6,11,13,14,15,16]]

[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]] => [[1,2,4,7,8,9,10,11],[3,5,6,12,13,14,15,16]]

[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]] => [[1,2,4,5,8,10,12,15],[3,6,7,9,11,13,14,16]]

[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,4,7,9,11,12,14],[2,5,6,8,10,13,15,16]] => [[1,2,4,5,8,10,13,15],[3,6,7,9,11,12,14,16]]

[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[1,3,4,6,9,11,13,14],[2,5,7,8,10,12,15,16]] => [[1,2,4,5,7,10,12,15],[3,6,8,9,11,13,14,16]]

[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[1,3,4,6,9,11,12,14],[2,5,7,8,10,13,15,16]] => [[1,2,4,5,7,10,13,15],[3,6,8,9,11,12,14,16]]

[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,3,4,6,9,10,11,12],[2,5,7,8,13,14,15,16]] => [[1,2,4,5,7,11,12,13],[3,6,8,9,10,14,15,16]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]] => [[1,2,5,7,9,11,13,15],[3,4,6,8,10,12,14,16]]

[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,10,12,13],[2,5,7,9,11,14,15,16]] => [[1,2,5,7,9,11,13,14],[3,4,6,8,10,12,15,16]]

[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]] => [[1,2,4,5,6,10,12,14],[3,7,8,9,11,13,15,16]]

[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [[1,3,4,5,9,11,12,14],[2,6,7,8,10,13,15,16]] => [[1,2,4,5,6,10,13,15],[3,7,8,9,11,12,14,16]]

[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,5,8,10,12,14],[2,6,7,9,11,13,15,16]] => [[1,2,5,6,9,11,13,15],[3,4,7,8,10,12,14,16]]

[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,3,4,5,7,11,13,15],[2,6,8,9,10,12,14,16]] => [[1,2,4,5,6,8,12,14],[3,7,9,10,11,13,15,16]]

[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [[1,3,4,5,7,11,12,13],[2,6,8,9,10,14,15,16]] => [[1,2,4,5,6,8,13,14],[3,7,9,10,11,12,15,16]]

[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[1,3,4,5,7,10,12,15],[2,6,8,9,11,13,14,16]] => [[1,2,4,5,6,8,11,13],[3,7,9,10,12,14,15,16]]

[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,3,4,5,7,10,12,14],[2,6,8,9,11,13,15,16]] => [[1,2,5,6,8,11,13,15],[3,4,7,9,10,12,14,16]]

[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,3,4,5,7,9,13,15],[2,6,8,10,11,12,14,16]] => [[1,2,4,5,6,8,10,14],[3,7,9,11,12,13,15,16]]

[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,3,4,5,7,9,11,15],[2,6,8,10,12,13,14,16]] => [[1,2,4,5,6,8,10,12],[3,7,9,11,13,14,15,16]]

[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,9,11,14],[2,6,8,10,12,13,15,16]] => [[1,2,5,6,8,10,12,15],[3,4,7,9,11,13,14,16]]

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11,13],[2,6,8,10,12,14,15,16]] => [[1,2,5,6,8,10,12,14],[3,4,7,9,11,13,15,16]]

[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[1,3,4,5,6,10,12,14],[2,7,8,9,11,13,15,16]] => [[1,2,5,6,7,11,13,15],[3,4,8,9,10,12,14,16]]

[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,6,9,11,13],[2,7,8,10,12,14,15,16]] => [[1,2,5,6,7,10,12,14],[3,4,8,9,11,13,15,16]]

[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,8,13,14],[2,7,9,10,11,12,15,16]] => [[1,2,4,5,6,7,9,15],[3,8,10,11,12,13,14,16]]

[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [[1,3,4,5,6,8,11,13],[2,7,9,10,12,14,15,16]] => [[1,2,5,6,7,9,12,14],[3,4,8,10,11,13,15,16]]

[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[1,3,4,5,6,8,10,14],[2,7,9,11,12,13,15,16]] => [[1,2,5,6,7,9,11,15],[3,4,8,10,12,13,14,16]]

[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10,12],[2,7,9,11,13,14,15,16]] => [[1,2,5,6,7,9,11,13],[3,4,8,10,12,14,15,16]]

[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]] => [[1,2,5,6,7,9,10,11],[3,4,8,12,13,14,15,16]]

[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]] => [[1,2,4,5,6,7,8,14],[3,9,10,11,12,13,15,16]]

[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]] => [[1,2,4,5,6,7,8,15],[3,9,10,11,12,13,14,16]]

[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,3,4,5,6,7,11,13],[2,8,9,10,12,14,15,16]] => [[1,2,5,6,7,8,12,14],[3,4,9,10,11,13,15,16]]

[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,7,10,12],[2,8,9,11,13,14,15,16]] => [[1,2,5,6,7,8,11,13],[3,4,9,10,12,14,15,16]]

[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[1,3,4,5,6,7,9,15],[2,8,10,11,12,13,14,16]] => [[1,2,4,5,6,7,8,10],[3,9,11,12,13,14,15,16]]

[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,9,12],[2,8,10,11,13,14,15,16]] => [[1,2,5,6,7,8,10,13],[3,4,9,11,12,14,15,16]]

[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]] => [[1,2,5,6,7,8,10,12],[3,4,9,11,13,14,15,16]]

[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]] => [[1,2,5,6,7,8,10,11],[3,4,9,12,13,14,15,16]]

[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]] => [[1,2,4,5,6,7,8,9],[3,10,11,12,13,14,15,16]]

[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]] => [[1,2,5,6,7,8,9,13],[3,4,10,11,12,14,15,16]]

[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]] => [[1,2,5,6,7,8,9,12],[3,4,10,11,13,14,15,16]]

[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]] => [[1,2,5,6,7,8,9,11],[3,4,10,12,13,14,15,16]]

[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]] => [[1,2,5,6,7,8,9,10],[3,4,11,12,13,14,15,16]]

[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]] => [[1,2,3,6,8,10,12,14],[4,5,7,9,11,13,15,16]]

[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]] => [[1,2,3,6,8,10,12,15],[4,5,7,9,11,13,14,16]]

[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]] => [[1,2,3,6,8,10,12,13],[4,5,7,9,11,14,15,16]]

[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,11,12,14],[3,4,6,8,10,13,15,16]] => [[1,2,3,6,8,10,13,15],[4,5,7,9,11,12,14,16]]

[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]] => [[1,2,3,6,8,10,13,14],[4,5,7,9,11,12,15,16]]

[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]] => [[1,2,3,6,8,10,11,14],[4,5,7,9,12,13,15,16]]

[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,2,5,7,9,10,12,14],[3,4,6,8,11,13,15,16]] => [[1,2,3,6,8,11,13,15],[4,5,7,9,10,12,14,16]]

[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,2,5,7,8,10,12,14],[3,4,6,9,11,13,15,16]] => [[1,2,3,6,9,11,13,15],[4,5,7,8,10,12,14,16]]

[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,5,7,8,9,11,13],[3,4,6,10,12,14,15,16]] => [[1,2,3,6,9,10,12,14],[4,5,7,8,11,13,15,16]]

[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,5,7,8,9,10,12],[3,4,6,11,13,14,15,16]] => [[1,2,3,6,9,10,11,13],[4,5,7,8,12,14,15,16]]

[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]] => [[1,2,3,6,9,10,11,12],[4,5,7,8,13,14,15,16]]

[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,8,10,12,14],[3,4,7,9,11,13,15,16]] => [[1,2,3,7,9,11,13,15],[4,5,6,8,10,12,14,16]]

[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,5,6,8,10,11,12],[3,4,7,9,13,14,15,16]] => [[1,2,3,7,9,11,12,13],[4,5,6,8,10,14,15,16]]

[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,2,5,6,8,9,10,11],[3,4,7,12,13,14,15,16]] => [[1,2,3,7,9,10,11,12],[4,5,6,8,13,14,15,16]]

[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]] => [[1,2,3,6,7,8,12,14],[4,5,9,10,11,13,15,16]]

[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,5,6,7,10,12,14],[3,4,8,9,11,13,15,16]] => [[1,2,3,7,8,11,13,15],[4,5,6,9,10,12,14,16]]

[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,5,6,7,9,11,13],[3,4,8,10,12,14,15,16]] => [[1,2,3,7,8,10,12,14],[4,5,6,9,11,13,15,16]]

[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,5,6,7,8,10,12],[3,4,9,11,13,14,15,16]] => [[1,2,3,7,8,9,11,13],[4,5,6,10,12,14,15,16]]

[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]] => [[1,2,3,6,7,8,9,10],[4,5,11,12,13,14,15,16]]

[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,5,6,7,8,9,14],[3,4,10,11,12,13,15,16]] => [[1,2,3,7,8,9,10,15],[4,5,6,11,12,13,14,16]]

[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,5,6,7,8,9,11],[3,4,10,12,13,14,15,16]] => [[1,2,3,7,8,9,10,12],[4,5,6,11,13,14,15,16]]

[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]] => [[1,2,3,7,8,9,10,11],[4,5,6,12,13,14,15,16]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13,15],[3,5,6,8,10,12,14,16]] => [[1,2,3,5,8,10,12,14],[4,6,7,9,11,13,15,16]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,4,7,9,11,13,14],[3,5,6,8,10,12,15,16]] => [[1,2,3,5,8,10,12,15],[4,6,7,9,11,13,14,16]]

[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,4,7,9,11,12,14],[3,5,6,8,10,13,15,16]] => [[1,2,3,5,8,10,13,15],[4,6,7,9,11,12,14,16]]

[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [[1,2,4,7,9,10,11,12],[3,5,6,8,13,14,15,16]] => [[1,2,3,5,8,11,12,13],[4,6,7,9,10,14,15,16]]

[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,4,7,8,9,10,12],[3,5,6,11,13,14,15,16]] => [[1,2,3,5,9,10,11,13],[4,6,7,8,12,14,15,16]]

[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,4,7,8,9,10,11],[3,5,6,12,13,14,15,16]] => [[1,2,3,5,9,10,11,12],[4,6,7,8,13,14,15,16]]

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13,15],[3,5,7,8,10,12,14,16]] => [[1,2,3,5,7,10,12,14],[4,6,8,9,11,13,15,16]]

[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [[1,2,4,6,9,11,12,13],[3,5,7,8,10,14,15,16]] => [[1,2,3,5,7,10,13,14],[4,6,8,9,11,12,15,16]]

[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,4,6,9,10,11,12],[3,5,7,8,13,14,15,16]] => [[1,2,3,5,7,11,12,13],[4,6,8,9,10,14,15,16]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,11,13,15],[3,5,7,9,10,12,14,16]] => [[1,2,3,5,7,9,12,14],[4,6,8,10,11,13,15,16]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[1,2,4,6,8,11,13,14],[3,5,7,9,10,12,15,16]] => [[1,2,3,5,7,9,12,15],[4,6,8,10,11,13,14,16]]

[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,6,8,11,12,13],[3,5,7,9,10,14,15,16]] => [[1,2,3,5,7,9,13,14],[4,6,8,10,11,12,15,16]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,10,13,15],[3,5,7,9,11,12,14,16]] => [[1,2,3,5,7,9,11,14],[4,6,8,10,12,13,15,16]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,10,13,14],[3,5,7,9,11,12,15,16]] => [[1,2,3,5,7,9,11,15],[4,6,8,10,12,13,14,16]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,12,15],[3,5,7,9,11,13,14,16]] => [[1,2,3,5,7,9,11,13],[4,6,8,10,12,14,15,16]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14],[3,5,7,9,11,13,15,16]] => [[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,12,13],[3,5,7,9,11,14,15,16]] => [[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]]

[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,8,10,11,15],[3,5,7,9,12,13,14,16]] => [[1,2,3,5,7,9,11,12],[4,6,8,10,13,14,15,16]]

[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,8,10,11,14],[3,5,7,9,12,13,15,16]] => [[1,3,5,7,9,11,12,15],[2,4,6,8,10,13,14,16]]

[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,10,11,13],[3,5,7,9,12,14,15,16]] => [[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]]

[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,10,11,12],[3,5,7,9,13,14,15,16]] => [[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]]

[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,6,8,9,13,15],[3,5,7,10,11,12,14,16]] => [[1,2,3,5,7,9,10,14],[4,6,8,11,12,13,15,16]]

[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,6,8,9,12,14],[3,5,7,10,11,13,15,16]] => [[1,3,5,7,9,10,13,15],[2,4,6,8,11,12,14,16]]

[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [[1,2,4,6,8,9,11,15],[3,5,7,10,12,13,14,16]] => [[1,2,3,5,7,9,10,12],[4,6,8,11,13,14,15,16]]

[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,9,11,13],[3,5,7,10,12,14,15,16]] => [[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]]

[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,6,8,9,11,12],[3,5,7,10,13,14,15,16]] => [[1,3,5,7,9,10,12,13],[2,4,6,8,11,14,15,16]]

[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [[1,2,4,6,8,9,10,15],[3,5,7,11,12,13,14,16]] => [[1,2,3,5,7,9,10,11],[4,6,8,12,13,14,15,16]]

[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,8,9,10,12],[3,5,7,11,13,14,15,16]] => [[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]]

[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,6,7,11,13,15],[3,5,8,9,10,12,14,16]] => [[1,2,3,5,7,8,12,14],[4,6,9,10,11,13,15,16]]

[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,6,7,10,12,14],[3,5,8,9,11,13,15,16]] => [[1,3,5,7,8,11,13,15],[2,4,6,9,10,12,14,16]]

[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,6,7,9,13,15],[3,5,8,10,11,12,14,16]] => [[1,2,3,5,7,8,10,14],[4,6,9,11,12,13,15,16]]

[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,4,6,7,9,10,12],[3,5,8,11,13,14,15,16]] => [[1,3,5,7,8,10,11,13],[2,4,6,9,12,14,15,16]]

[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [[1,2,4,6,7,8,13,15],[3,5,9,10,11,12,14,16]] => [[1,2,3,5,7,8,9,14],[4,6,10,11,12,13,15,16]]

[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10,12],[3,5,9,11,13,14,15,16]] => [[1,3,5,7,8,9,11,13],[2,4,6,10,12,14,15,16]]

[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[1,2,4,6,7,8,9,15],[3,5,10,11,12,13,14,16]] => [[1,2,3,5,7,8,9,10],[4,6,11,12,13,14,15,16]]

[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,5,9,11,13,15],[3,6,7,8,10,12,14,16]] => [[1,2,3,5,6,10,12,14],[4,7,8,9,11,13,15,16]]

[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,8,10,12,14],[3,6,7,9,11,13,15,16]] => [[1,3,5,6,9,11,13,15],[2,4,7,8,10,12,14,16]]

[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,5,7,11,13,15],[3,6,8,9,10,12,14,16]] => [[1,2,3,5,6,8,12,14],[4,7,9,10,11,13,15,16]]

[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,4,5,7,10,12,14],[3,6,8,9,11,13,15,16]] => [[1,3,5,6,8,11,13,15],[2,4,7,9,10,12,14,16]]

[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,4,5,7,9,13,15],[3,6,8,10,11,12,14,16]] => [[1,2,3,5,6,8,10,14],[4,7,9,11,12,13,15,16]]

[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,9,11,15],[3,6,8,10,12,13,14,16]] => [[1,2,3,5,6,8,10,12],[4,7,9,11,13,14,15,16]]

[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11,13],[3,6,8,10,12,14,15,16]] => [[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]]

[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,4,5,7,9,11,12],[3,6,8,10,13,14,15,16]] => [[1,3,5,6,8,10,12,13],[2,4,7,9,11,14,15,16]]

[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,7,8,10,12],[3,6,9,11,13,14,15,16]] => [[1,3,5,6,8,9,11,13],[2,4,7,10,12,14,15,16]]

[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [[1,2,4,5,6,11,13,15],[3,7,8,9,10,12,14,16]] => [[1,2,3,5,6,7,12,14],[4,8,9,10,11,13,15,16]]

[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10,12],[3,7,9,11,13,14,15,16]] => [[1,3,5,6,7,9,11,13],[2,4,8,10,12,14,15,16]]

[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,4,5,6,7,13,14],[3,8,9,10,11,12,15,16]] => [[1,2,3,5,6,7,8,15],[4,9,10,11,12,13,14,16]]

[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [[1,2,4,5,6,7,12,14],[3,8,9,10,11,13,15,16]] => [[1,3,5,6,7,8,13,15],[2,4,9,10,11,12,14,16]]

[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [[1,2,4,5,6,7,12,13],[3,8,9,10,11,14,15,16]] => [[1,3,5,6,7,8,13,14],[2,4,9,10,11,12,15,16]]

[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,9,11],[3,8,10,12,13,14,15,16]] => [[1,3,5,6,7,8,10,12],[2,4,9,11,13,14,15,16]]

[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,4,5,6,7,8,15],[3,9,10,11,12,13,14,16]] => [[1,2,3,5,6,7,8,9],[4,10,11,12,13,14,15,16]]

[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,8,14],[3,9,10,11,12,13,15,16]] => [[1,3,5,6,7,8,9,15],[2,4,10,11,12,13,14,16]]

[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,2,4,5,6,7,8,11],[3,9,10,12,13,14,15,16]] => [[1,3,5,6,7,8,9,12],[2,4,10,11,13,14,15,16]]

[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,10],[3,9,11,12,13,14,15,16]] => [[1,3,5,6,7,8,9,11],[2,4,10,12,13,14,15,16]]

[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9],[3,10,11,12,13,14,15,16]] => [[1,3,5,6,7,8,9,10],[2,4,11,12,13,14,15,16]]

[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]] => [[1,2,3,4,8,10,12,14],[5,6,7,9,11,13,15,16]]

[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]] => [[1,2,3,4,8,10,12,15],[5,6,7,9,11,13,14,16]]

[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,3,7,9,11,12,14],[4,5,6,8,10,13,15,16]] => [[1,2,3,4,8,10,13,15],[5,6,7,9,11,12,14,16]]

[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [[1,2,3,7,9,10,11,13],[4,5,6,8,12,14,15,16]] => [[1,2,3,4,8,11,12,14],[5,6,7,9,10,13,15,16]]

[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [[1,2,3,7,8,9,11,13],[4,5,6,10,12,14,15,16]] => [[1,2,3,4,9,10,12,14],[5,6,7,8,11,13,15,16]]

[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [[1,2,3,7,8,9,11,12],[4,5,6,10,13,14,15,16]] => [[1,2,3,4,9,10,12,13],[5,6,7,8,11,14,15,16]]

[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]] => [[1,2,3,4,8,9,10,11],[5,6,7,12,13,14,15,16]]

[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,3,7,8,9,10,12],[4,5,6,11,13,14,15,16]] => [[1,2,3,4,9,10,11,13],[5,6,7,8,12,14,15,16]]

[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]] => [[1,2,3,4,9,10,11,12],[5,6,7,8,13,14,15,16]]

[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,6,9,11,13,15],[4,5,7,8,10,12,14,16]] => [[1,2,3,4,7,10,12,14],[5,6,8,9,11,13,15,16]]

[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,6,9,10,11,12],[4,5,7,8,13,14,15,16]] => [[1,2,3,4,7,11,12,13],[5,6,8,9,10,14,15,16]]

[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,6,8,11,13,15],[4,5,7,9,10,12,14,16]] => [[1,2,3,4,7,9,12,14],[5,6,8,10,11,13,15,16]]

[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,3,6,8,10,13,15],[4,5,7,9,11,12,14,16]] => [[1,2,3,4,7,9,11,14],[5,6,8,10,12,13,15,16]]

[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,10,12,15],[4,5,7,9,11,13,14,16]] => [[1,2,3,4,7,9,11,13],[5,6,8,10,12,14,15,16]]

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14],[4,5,7,9,11,13,15,16]] => [[1,3,4,7,9,11,13,15],[2,5,6,8,10,12,14,16]]

[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,7,10,12,14],[4,5,8,9,11,13,15,16]] => [[1,3,4,7,8,11,13,15],[2,5,6,9,10,12,14,16]]

[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,6,7,9,11,13],[4,5,8,10,12,14,15,16]] => [[1,3,4,7,8,10,12,14],[2,5,6,9,11,13,15,16]]

[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,6,7,8,9,11],[4,5,10,12,13,14,15,16]] => [[1,3,4,7,8,9,10,12],[2,5,6,11,13,14,15,16]]

[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,5,9,11,13,15],[4,6,7,8,10,12,14,16]] => [[1,2,3,4,6,10,12,14],[5,7,8,9,11,13,15,16]]

[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,5,9,10,11,12],[4,6,7,8,13,14,15,16]] => [[1,2,3,4,6,11,12,13],[5,7,8,9,10,14,15,16]]

[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,5,8,10,12,15],[4,6,7,9,11,13,14,16]] => [[1,2,3,4,6,9,11,13],[5,7,8,10,12,14,15,16]]

[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,8,10,12,14],[4,6,7,9,11,13,15,16]] => [[1,3,4,6,9,11,13,15],[2,5,7,8,10,12,14,16]]

[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,5,7,11,13,15],[4,6,8,9,10,12,14,16]] => [[1,2,3,4,6,8,12,14],[5,7,9,10,11,13,15,16]]

[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [[1,2,3,5,7,11,13,14],[4,6,8,9,10,12,15,16]] => [[1,2,3,4,6,8,12,15],[5,7,9,10,11,13,14,16]]

[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [[1,2,3,5,7,10,13,15],[4,6,8,9,11,12,14,16]] => [[1,2,3,4,6,8,11,14],[5,7,9,10,12,13,15,16]]

[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [[1,2,3,5,7,10,13,14],[4,6,8,9,11,12,15,16]] => [[1,2,3,4,6,8,11,15],[5,7,9,10,12,13,14,16]]

[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [[1,2,3,5,7,10,12,15],[4,6,8,9,11,13,14,16]] => [[1,2,3,4,6,8,11,13],[5,7,9,10,12,14,15,16]]

[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,10,12,14],[4,6,8,9,11,13,15,16]] => [[1,3,4,6,8,11,13,15],[2,5,7,9,10,12,14,16]]

[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,7,9,13,15],[4,6,8,10,11,12,14,16]] => [[1,2,3,4,6,8,10,14],[5,7,9,11,12,13,15,16]]

[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,7,9,13,14],[4,6,8,10,11,12,15,16]] => [[1,2,3,4,6,8,10,15],[5,7,9,11,12,13,14,16]]

[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [[1,2,3,5,7,9,12,13],[4,6,8,10,11,14,15,16]] => [[1,3,4,6,8,10,13,14],[2,5,7,9,11,12,15,16]]

[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,11,15],[4,6,8,10,12,13,14,16]] => [[1,2,3,4,6,8,10,12],[5,7,9,11,13,14,15,16]]

[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,11,14],[4,6,8,10,12,13,15,16]] => [[1,3,4,6,8,10,12,15],[2,5,7,9,11,13,14,16]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11,13],[4,6,8,10,12,14,15,16]] => [[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]]

[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,9,11,12],[4,6,8,10,13,14,15,16]] => [[1,3,4,6,8,10,12,13],[2,5,7,9,11,14,15,16]]

[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [[1,2,3,5,7,8,13,14],[4,6,9,10,11,12,15,16]] => [[1,2,3,4,6,8,9,15],[5,7,10,11,12,13,14,16]]

[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,5,6,8,10,12],[4,7,9,11,13,14,15,16]] => [[1,3,4,6,7,9,11,13],[2,5,8,10,12,14,15,16]]

[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,5,6,8,10,11],[4,7,9,12,13,14,15,16]] => [[1,3,4,6,7,9,11,12],[2,5,8,10,13,14,15,16]]

[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,5,6,7,13,14],[4,8,9,10,11,12,15,16]] => [[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]

[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [[1,2,3,5,6,7,11,13],[4,8,9,10,12,14,15,16]] => [[1,3,4,6,7,8,12,14],[2,5,9,10,11,13,15,16]]

[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [[1,2,3,5,6,7,11,12],[4,8,9,10,13,14,15,16]] => [[1,3,4,6,7,8,12,13],[2,5,9,10,11,14,15,16]]

[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,5,6,7,9,10],[4,8,11,12,13,14,15,16]] => [[1,3,4,6,7,8,10,11],[2,5,9,12,13,14,15,16]]

[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [[1,2,3,5,6,7,8,13],[4,9,10,11,12,14,15,16]] => [[1,3,4,6,7,8,9,14],[2,5,10,11,12,13,15,16]]

[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [[1,2,3,5,6,7,8,11],[4,9,10,12,13,14,15,16]] => [[1,3,4,6,7,8,9,12],[2,5,10,11,13,14,15,16]]

[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,10],[4,9,11,12,13,14,15,16]] => [[1,3,4,6,7,8,9,11],[2,5,10,12,13,14,15,16]]

[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,9],[4,10,11,12,13,14,15,16]] => [[1,3,4,6,7,8,9,10],[2,5,11,12,13,14,15,16]]

[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]] => [[1,2,3,4,5,10,12,14],[6,7,8,9,11,13,15,16]]

[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [[1,2,3,4,9,11,12,14],[5,6,7,8,10,13,15,16]] => [[1,2,3,4,5,10,13,15],[6,7,8,9,11,12,14,16]]

[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,4,9,10,11,13],[5,6,7,8,12,14,15,16]] => [[1,2,3,4,5,11,12,14],[6,7,8,9,10,13,15,16]]

[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]] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10,14,15,16]]

[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,4,8,11,13,15],[5,6,7,9,10,12,14,16]] => [[1,2,3,4,5,9,12,14],[6,7,8,10,11,13,15,16]]

[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [[1,2,3,4,8,10,13,15],[5,6,7,9,11,12,14,16]] => [[1,2,3,4,5,9,11,14],[6,7,8,10,12,13,15,16]]

[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,4,8,10,12,15],[5,6,7,9,11,13,14,16]] => [[1,2,3,4,5,9,11,13],[6,7,8,10,12,14,15,16]]

[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,4,8,10,12,14],[5,6,7,9,11,13,15,16]] => [[1,3,4,5,9,11,13,15],[2,6,7,8,10,12,14,16]]

[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,8,9,10,12],[5,6,7,11,13,14,15,16]] => [[1,3,4,5,9,10,11,13],[2,6,7,8,12,14,15,16]]

[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,4,7,11,13,15],[5,6,8,9,10,12,14,16]] => [[1,2,3,4,5,8,12,14],[6,7,9,10,11,13,15,16]]

[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,7,11,12,13],[5,6,8,9,10,14,15,16]] => [[1,2,3,4,5,8,13,14],[6,7,9,10,11,12,15,16]]

[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,4,7,9,11,14],[5,6,8,10,12,13,15,16]] => [[1,3,4,5,8,10,12,15],[2,6,7,9,11,13,14,16]]

[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,7,9,11,13],[5,6,8,10,12,14,15,16]] => [[1,3,4,5,8,10,12,14],[2,6,7,9,11,13,15,16]]

[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,7,8,10,12],[5,6,9,11,13,14,15,16]] => [[1,3,4,5,8,9,11,13],[2,6,7,10,12,14,15,16]]

[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,7,8,9,11],[5,6,10,12,13,14,15,16]] => [[1,3,4,5,8,9,10,12],[2,6,7,11,13,14,15,16]]

[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,6,11,12,13],[5,7,8,9,10,14,15,16]] => [[1,2,3,4,5,7,13,14],[6,8,9,10,11,12,15,16]]

[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [[1,2,3,4,6,10,12,14],[5,7,8,9,11,13,15,16]] => [[1,3,4,5,7,11,13,15],[2,6,8,9,10,12,14,16]]

[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,6,8,12,14],[5,7,9,10,11,13,15,16]] => [[1,3,4,5,7,9,13,15],[2,6,8,10,11,12,14,16]]

[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,6,8,11,12],[5,7,9,10,13,14,15,16]] => [[1,3,4,5,7,9,12,13],[2,6,8,10,11,14,15,16]]

[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,8,10,14],[5,7,9,11,12,13,15,16]] => [[1,3,4,5,7,9,11,15],[2,6,8,10,12,13,14,16]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10,12],[5,7,9,11,13,14,15,16]] => [[1,3,4,5,7,9,11,13],[2,6,8,10,12,14,15,16]]

[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,10,11],[5,7,9,12,13,14,15,16]] => [[1,3,4,5,7,9,11,12],[2,6,8,10,13,14,15,16]]

[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,7,10,12],[5,8,9,11,13,14,15,16]] => [[1,3,4,5,7,8,11,13],[2,6,9,10,12,14,15,16]]

[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,7,10,11],[5,8,9,12,13,14,15,16]] => [[1,3,4,5,7,8,11,12],[2,6,9,10,13,14,15,16]]

[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,6,7,9,10],[5,8,11,12,13,14,15,16]] => [[1,3,4,5,7,8,10,11],[2,6,9,12,13,14,15,16]]

[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]] => [[1,2,3,4,5,7,8,9],[6,10,11,12,13,14,15,16]]

[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,6,7,8,14],[5,9,10,11,12,13,15,16]] => [[1,3,4,5,7,8,9,15],[2,6,10,11,12,13,14,16]]

[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [[1,2,3,4,6,7,8,12],[5,9,10,11,13,14,15,16]] => [[1,3,4,5,7,8,9,13],[2,6,10,11,12,14,15,16]]

[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,9],[5,10,11,12,13,14,15,16]] => [[1,3,4,5,7,8,9,10],[2,6,11,12,13,14,15,16]]

[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]] => [[1,2,3,4,5,6,12,14],[7,8,9,10,11,13,15,16]]

[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,5,11,12,14],[6,7,8,9,10,13,15,16]] => [[1,2,3,4,5,6,13,15],[7,8,9,10,11,12,14,16]]

[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]] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12,15,16]]

[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [[1,2,3,4,5,10,13,15],[6,7,8,9,11,12,14,16]] => [[1,2,3,4,5,6,11,14],[7,8,9,10,12,13,15,16]]

[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [[1,2,3,4,5,10,12,15],[6,7,8,9,11,13,14,16]] => [[1,2,3,4,5,6,11,13],[7,8,9,10,12,14,15,16]]

[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [[1,2,3,4,5,10,11,13],[6,7,8,9,12,14,15,16]] => [[1,3,4,5,6,11,12,14],[2,7,8,9,10,13,15,16]]

[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [[1,2,3,4,5,9,13,15],[6,7,8,10,11,12,14,16]] => [[1,2,3,4,5,6,10,14],[7,8,9,11,12,13,15,16]]

[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,8,13,14],[6,7,9,10,11,12,15,16]] => [[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]

[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,8,10,13],[6,7,9,11,12,14,15,16]] => [[1,3,4,5,6,9,11,14],[2,7,8,10,12,13,15,16]]

[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10,12],[6,7,9,11,13,14,15,16]] => [[1,3,4,5,6,9,11,13],[2,7,8,10,12,14,15,16]]

[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,8,9,11],[6,7,10,12,13,14,15,16]] => [[1,3,4,5,6,9,10,12],[2,7,8,11,13,14,15,16]]

[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,7,13,14],[6,8,9,10,11,12,15,16]] => [[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]

[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [[1,2,3,4,5,7,11,12],[6,8,9,10,13,14,15,16]] => [[1,3,4,5,6,8,12,13],[2,7,9,10,11,14,15,16]]

[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,7,10,12],[6,8,9,11,13,14,15,16]] => [[1,3,4,5,6,8,11,13],[2,7,9,10,12,14,15,16]]

[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [[1,2,3,4,5,7,10,11],[6,8,9,12,13,14,15,16]] => [[1,3,4,5,6,8,11,12],[2,7,9,10,13,14,15,16]]

[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]] => [[1,2,3,4,5,6,8,10],[7,9,11,12,13,14,15,16]]

[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,7,9,14],[6,8,10,11,12,13,15,16]] => [[1,3,4,5,6,8,10,15],[2,7,9,11,12,13,14,16]]

[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,9,11],[6,8,10,12,13,14,15,16]] => [[1,3,4,5,6,8,10,12],[2,7,9,11,13,14,15,16]]

[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,9,10],[6,8,11,12,13,14,15,16]] => [[1,3,4,5,6,8,10,11],[2,7,9,12,13,14,15,16]]

[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]] => [[1,2,3,4,5,6,8,9],[7,10,11,12,13,14,15,16]]

[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,7,8,14],[6,9,10,11,12,13,15,16]] => [[1,3,4,5,6,8,9,15],[2,7,10,11,12,13,14,16]]

[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,8,11],[6,9,10,12,13,14,15,16]] => [[1,3,4,5,6,8,9,12],[2,7,10,11,13,14,15,16]]

[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,9],[6,10,11,12,13,14,15,16]] => [[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]

[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]] => [[1,2,3,4,5,6,7,14],[8,9,10,11,12,13,15,16]]

[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]] => [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]

[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,6,12,15],[7,8,9,10,11,13,14,16]] => [[1,2,3,4,5,6,7,13],[8,9,10,11,12,14,15,16]]

[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [[1,2,3,4,5,6,12,14],[7,8,9,10,11,13,15,16]] => [[1,3,4,5,6,7,13,15],[2,8,9,10,11,12,14,16]]

[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [[1,2,3,4,5,6,11,15],[7,8,9,10,12,13,14,16]] => [[1,2,3,4,5,6,7,12],[8,9,10,11,13,14,15,16]]

[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]] => [[1,2,3,4,5,6,7,11],[8,9,10,12,13,14,15,16]]

[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [[1,2,3,4,5,6,10,14],[7,8,9,11,12,13,15,16]] => [[1,3,4,5,6,7,11,15],[2,8,9,10,12,13,14,16]]

[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]] => [[1,2,3,4,5,6,7,10],[8,9,11,12,13,14,15,16]]

[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,9,14],[7,8,10,11,12,13,15,16]] => [[1,3,4,5,6,7,10,15],[2,8,9,11,12,13,14,16]]

[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,9,13],[7,8,10,11,12,14,15,16]] => [[1,3,4,5,6,7,10,14],[2,8,9,11,12,13,15,16]]

[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,9,12],[7,8,10,11,13,14,15,16]] => [[1,3,4,5,6,7,10,13],[2,8,9,11,12,14,15,16]]

[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11],[7,8,10,12,13,14,15,16]] => [[1,3,4,5,6,7,10,12],[2,8,9,11,13,14,15,16]]

[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]] => [[1,2,3,4,5,6,7,9],[8,10,11,12,13,14,15,16]]

[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,8,14],[7,9,10,11,12,13,15,16]] => [[1,3,4,5,6,7,9,15],[2,8,10,11,12,13,14,16]]

[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,10],[7,9,11,12,13,14,15,16]] => [[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]

[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9],[7,10,11,12,13,14,15,16]] => [[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]

[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]] => [[1,2,3,4,5,6,7,8],[9,10,11,12,13,14,15,16]]

[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,14],[8,9,10,11,12,13,15,16]] => [[1,3,4,5,6,7,8,15],[2,9,10,11,12,13,14,16]]

[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,13],[8,9,10,11,12,14,15,16]] => [[1,3,4,5,6,7,8,14],[2,9,10,11,12,13,15,16]]

[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,7,12],[8,9,10,11,13,14,15,16]] => [[1,3,4,5,6,7,8,13],[2,9,10,11,12,14,15,16]]

[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,11],[8,9,10,12,13,14,15,16]] => [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]

[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,10],[8,9,11,12,13,14,15,16]] => [[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9],[8,10,11,12,13,14,15,16]] => [[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]

[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]] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]

[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]] => [[1,2,3,4,5,6,7,8,9],[10,11,12,13,14,15,16,17,18]]

[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]] => [[1,2,5,6,7,8,9,10,11],[3,4,12,13,14,15,16,17,18]]

[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]] => [[1,2,3,4,5,6,7,8,9,10],[11,12,13,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]] => [[1,2,3,4,5,6,7,8,10],[9,11,12,13,14,15,16,17,18]]

[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]] => [[1,2,5,6,7,8,9,10,12],[3,4,11,13,14,15,16,17,18]]

[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]] => [[1,2,5,6,7,8,9,10,11,12],[3,4,13,14,15,16,17,18,19,20]]

[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]] => [[1,2,3,4,5,6,7,8,9,10,11],[12,13,14,15,16,17,18,19,20,21,22]]

[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]] => [[1,2,3,4,5,6,7,8,9,11],[10,12,13,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]] => [[1,2,3,4,5,6,7,8,11],[9,10,12,13,14,15,16,17,18]]

[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]] => [[1,2,3,4,5,6,7,9,10],[8,11,12,13,14,15,16,17,18]]

[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]] => [[1,2,5,6,7,8,9,10,13],[3,4,11,12,14,15,16,17,18]]

[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]] => [[1,2,5,6,7,8,9,11,12],[3,4,10,13,14,15,16,17,18]]

[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]] => [[1,2,5,6,7,8,9,10,11,13],[3,4,12,14,15,16,17,18,19,20]]

[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]] => [[1,2,5,6,7,8,9,10,11,12,13],[3,4,14,15,16,17,18,19,20,21,22]]

[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,12],[2,9,11,13,14,15,16,17,18]] => [[1,2,5,6,7,8,9,11,13],[3,4,10,12,14,15,16,17,18]]

[1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,13],[2,11,12,14,15,16,17,18,19,20]] => [[1,2,5,6,7,8,9,10,11,14],[3,4,12,13,15,16,17,18,19,20]]

[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,11,13],[2,10,12,14,15,16,17,18,19,20]] => [[1,2,5,6,7,8,9,10,12,14],[3,4,11,13,15,16,17,18,19,20]]

[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,8,11,13],[2,9,10,12,14,15,16,17,18]] => [[1,2,5,6,7,8,9,12,14],[3,4,10,11,13,15,16,17,18]]

[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [[1,2,3,4,5,6,7,14,17],[8,9,10,11,12,13,15,16,18]] => [[1,2,3,4,5,6,7,8,15],[9,10,11,12,13,14,16,17,18]]

[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,4,5,6,7,8,9,17],[3,10,11,12,13,14,15,16,18]] => [[1,2,3,5,6,7,8,9,10],[4,11,12,13,14,15,16,17,18]]

[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]] => [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]

[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9,11,13],[2,8,10,12,14,15,16,17,18]] => [[1,2,5,6,7,8,10,12,14],[3,4,9,11,13,15,16,17,18]]

[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]] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]]

[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]] => [[1,2,3,4,5,6,7,8,16],[9,10,11,12,13,14,15,17,18]]

[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]] => [[1,2,4,5,6,7,8,9,10],[3,11,12,13,14,15,16,17,18]]

[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,4,5,6,8,15,16],[7,9,10,11,12,13,14,17,18]] => [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]

[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,12,14],[2,9,11,13,15,16,17,18,19,20]] => [[1,2,5,6,7,8,9,11,13,15],[3,4,10,12,14,16,17,18,19,20]]

[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [[1,2,5,6,7,8,9,10,12],[3,4,11,13,14,15,16,17,18]] => [[1,2,3,7,8,9,10,11,13],[4,5,6,12,14,15,16,17,18]]

[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]] => [[1,2,4,7,8,9,10,11,12],[3,5,6,13,14,15,16,17,18]]

[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]] => [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]

[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]] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]]

[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]] => [[1,2,3,4,5,6,7,8,9,18],[10,11,12,13,14,15,16,17,19,20]]

[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]] => [[1,2,4,5,6,7,8,9,10,11],[3,12,13,14,15,16,17,18,19,20]]

[1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,7,10,12,14],[2,8,9,11,13,15,16,17,18]] => [[1,2,5,6,7,8,11,13,15],[3,4,9,10,12,14,16,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]] => [[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,12,14,15],[3,5,7,9,11,13,16,17,18]] => [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[1,2,4,6,8,10,12,13,16],[3,5,7,9,11,14,15,17,18]] => [[1,3,5,7,9,11,13,14,17],[2,4,6,8,10,12,15,16,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [[1,2,4,6,8,10,12,13,15],[3,5,7,9,11,14,16,17,18]] => [[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,10,12,13,14],[3,5,7,9,11,15,16,17,18]] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]]

[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[1,2,4,6,8,10,11,14,16],[3,5,7,9,12,13,15,17,18]] => [[1,3,5,7,9,11,12,15,17],[2,4,6,8,10,13,14,16,18]]

[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[1,2,4,6,8,10,11,13,16],[3,5,7,9,12,14,15,17,18]] => [[1,3,5,7,9,11,12,14,17],[2,4,6,8,10,13,15,16,18]]

[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [[1,2,4,6,8,10,11,13,15],[3,5,7,9,12,14,16,17,18]] => [[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]]

[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [[1,2,4,6,8,10,11,13,14],[3,5,7,9,12,15,16,17,18]] => [[1,3,5,7,9,11,12,14,15],[2,4,6,8,10,13,16,17,18]]

[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [[1,2,4,6,8,10,11,12,16],[3,5,7,9,13,14,15,17,18]] => [[1,3,5,7,9,11,12,13,17],[2,4,6,8,10,14,15,16,18]]

[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,8,10,11,12,14],[3,5,7,9,13,15,16,17,18]] => [[1,3,5,7,9,11,12,13,15],[2,4,6,8,10,14,16,17,18]]

[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,8,9,10,12,14],[3,5,7,11,13,15,16,17,18]] => [[1,3,5,7,9,10,11,13,15],[2,4,6,8,12,14,16,17,18]]

[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10,12,14],[3,5,9,11,13,15,16,17,18]] => [[1,3,5,7,8,9,11,13,15],[2,4,6,10,12,14,16,17,18]]

[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,8,10,12,14,16],[3,6,7,9,11,13,15,17,18]] => [[1,3,5,6,9,11,13,15,17],[2,4,7,8,10,12,14,16,18]]

[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11,13,15],[3,6,8,10,12,14,16,17,18]] => [[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]]

[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10,12,14],[3,7,9,11,13,15,16,17,18]] => [[1,3,5,6,7,9,11,13,15],[2,4,8,10,12,14,16,17,18]]

[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [[1,2,4,5,6,7,8,9,16],[3,10,11,12,13,14,15,17,18]] => [[1,3,5,6,7,8,9,10,17],[2,4,11,12,13,14,15,16,18]]

[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,12],[3,10,11,13,14,15,16,17,18]] => [[1,3,5,6,7,8,9,10,13],[2,4,11,12,14,15,16,17,18]]

[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,11],[3,10,12,13,14,15,16,17,18]] => [[1,3,5,6,7,8,9,10,12],[2,4,11,13,14,15,16,17,18]]

[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10],[3,11,12,13,14,15,16,17,18]] => [[1,3,5,6,7,8,9,10,11],[2,4,12,13,14,15,16,17,18]]

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]] => [[1,3,4,7,9,11,13,15,17],[2,5,6,8,10,12,14,16,18]]

[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,8,10,12,14,16],[4,6,7,9,11,13,15,17,18]] => [[1,3,4,6,9,11,13,15,17],[2,5,7,8,10,12,14,16,18]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,11,13,16],[4,6,8,10,12,14,15,17,18]] => [[1,3,4,6,8,10,12,14,17],[2,5,7,9,11,13,15,16,18]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9,11,13,15],[4,6,8,10,12,14,16,17,18]] => [[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]]

[1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,5,6,8,10,12,13],[4,7,9,11,14,15,16,17,18]] => [[1,3,4,6,7,9,11,13,14],[2,5,8,10,12,15,16,17,18]]

[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [[1,2,3,5,6,7,8,9,15],[4,10,11,12,13,14,16,17,18]] => [[1,3,4,6,7,8,9,10,16],[2,5,11,12,13,14,15,17,18]]

[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,9,10],[4,11,12,13,14,15,16,17,18]] => [[1,3,4,6,7,8,9,10,11],[2,5,12,13,14,15,16,17,18]]

[1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,7,8,10,12,14],[5,6,9,11,13,15,16,17,18]] => [[1,3,4,5,8,9,11,13,15],[2,6,7,10,12,14,16,17,18]]

[1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [[1,2,3,4,6,8,11,13,15],[5,7,9,10,12,14,16,17,18]] => [[1,3,4,5,7,9,12,14,16],[2,6,8,10,11,13,15,17,18]]

[1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [[1,2,3,4,6,8,10,13,14],[5,7,9,11,12,15,16,17,18]] => [[1,3,4,5,7,9,11,14,15],[2,6,8,10,12,13,16,17,18]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10,12,14],[5,7,9,11,13,15,16,17,18]] => [[1,3,4,5,7,9,11,13,15],[2,6,8,10,12,14,16,17,18]]

[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,10,12,13],[5,7,9,11,14,15,16,17,18]] => [[1,3,4,5,7,9,11,13,14],[2,6,8,10,12,15,16,17,18]]

[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,6,7,8,9,14],[5,10,11,12,13,15,16,17,18]] => [[1,3,4,5,7,8,9,10,15],[2,6,11,12,13,14,16,17,18]]

[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,9,10],[5,11,12,13,14,15,16,17,18]] => [[1,3,4,5,7,8,9,10,11],[2,6,12,13,14,15,16,17,18]]

[1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0] => [[1,2,3,4,5,8,10,12,15],[6,7,9,11,13,14,16,17,18]] => [[1,3,4,5,6,9,11,13,16],[2,7,8,10,12,14,15,17,18]]

[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10,12,14],[6,7,9,11,13,15,16,17,18]] => [[1,3,4,5,6,9,11,13,15],[2,7,8,10,12,14,16,17,18]]

[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,9,11,12],[6,8,10,13,14,15,16,17,18]] => [[1,3,4,5,6,8,10,12,13],[2,7,9,11,14,15,16,17,18]]

[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,10,11],[6,9,12,13,14,15,16,17,18]] => [[1,3,4,5,6,8,9,11,12],[2,7,10,13,14,15,16,17,18]]

[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,7,8,9,13],[6,10,11,12,14,15,16,17,18]] => [[1,3,4,5,6,8,9,10,14],[2,7,11,12,13,15,16,17,18]]

[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,9,10],[6,11,12,13,14,15,16,17,18]] => [[1,3,4,5,6,8,9,10,11],[2,7,12,13,14,15,16,17,18]]

[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11,13],[7,8,10,12,14,15,16,17,18]] => [[1,3,4,5,6,7,10,12,14],[2,8,9,11,13,15,16,17,18]]

[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,9,10,12],[7,8,11,13,14,15,16,17,18]] => [[1,3,4,5,6,7,10,11,13],[2,8,9,12,14,15,16,17,18]]

[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,11,12],[7,9,10,13,14,15,16,17,18]] => [[1,3,4,5,6,7,9,12,13],[2,8,10,11,14,15,16,17,18]]

[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,10,11],[7,9,12,13,14,15,16,17,18]] => [[1,3,4,5,6,7,9,11,12],[2,8,10,13,14,15,16,17,18]]

[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,8,9,16],[7,10,11,12,13,14,15,17,18]] => [[1,3,4,5,6,7,9,10,17],[2,8,11,12,13,14,15,16,18]]

[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9,12],[7,10,11,13,14,15,16,17,18]] => [[1,3,4,5,6,7,9,10,13],[2,8,11,12,14,15,16,17,18]]

[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9,10],[7,11,12,13,14,15,16,17,18]] => [[1,3,4,5,6,7,9,10,11],[2,8,12,13,14,15,16,17,18]]

[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,10,16],[8,9,11,12,13,14,15,17,18]] => [[1,3,4,5,6,7,8,11,17],[2,9,10,12,13,14,15,16,18]]

[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,10,13],[8,9,11,12,14,15,16,17,18]] => [[1,3,4,5,6,7,8,11,14],[2,9,10,12,13,15,16,17,18]]

[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,10,12],[8,9,11,13,14,15,16,17,18]] => [[1,3,4,5,6,7,8,11,13],[2,9,10,12,14,15,16,17,18]]

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,9,16],[8,10,11,12,13,14,15,17,18]] => [[1,3,4,5,6,7,8,10,17],[2,9,11,12,13,14,15,16,18]]

[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,11],[8,10,12,13,14,15,16,17,18]] => [[1,3,4,5,6,7,8,10,12],[2,9,11,13,14,15,16,17,18]]

[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,10],[8,11,12,13,14,15,16,17,18]] => [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,16],[9,10,11,12,13,14,15,17,18]] => [[1,3,4,5,6,7,8,9,17],[2,10,11,12,13,14,15,16,18]]

[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,8,15],[9,10,11,12,13,14,16,17,18]] => [[1,3,4,5,6,7,8,9,16],[2,10,11,12,13,14,15,17,18]]

[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,7,8,14],[9,10,11,12,13,15,16,17,18]] => [[1,3,4,5,6,7,8,9,15],[2,10,11,12,13,14,16,17,18]]

[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,13],[9,10,11,12,14,15,16,17,18]] => [[1,3,4,5,6,7,8,9,14],[2,10,11,12,13,15,16,17,18]]

[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,12],[9,10,11,13,14,15,16,17,18]] => [[1,3,4,5,6,7,8,9,13],[2,10,11,12,14,15,16,17,18]]

[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,11],[9,10,12,13,14,15,16,17,18]] => [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]

[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,10],[9,11,12,13,14,15,16,17,18]] => [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]

[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]] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]

[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] => [[1,3,5,7,9,11,13,15,16],[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] => [[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]] => [[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]]

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]] => [[1,2,4,6,8,10,13,15,17],[3,5,7,9,11,12,14,16,18]]

[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]] => [[1,2,4,6,8,11,13,15,17],[3,5,7,9,10,12,14,16,18]]

[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]] => [[1,2,4,6,9,11,13,15,17],[3,5,7,8,10,12,14,16,18]]

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]] => [[1,2,5,7,9,11,13,15,17],[3,4,6,8,10,12,14,16,18]]

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17,19],[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] => [[1,3,5,7,9,11,13,15,17,18],[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] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]] => [[1,2,4,6,8,10,12,15,16],[3,5,7,9,11,13,14,17,18]]

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]] => [[1,2,4,6,8,10,12,14,17,19],[3,5,7,9,11,13,15,16,18,20]]

[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]] => [[1,2,4,6,8,10,13,14,17],[3,5,7,9,11,12,15,16,18]]

[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]] => [[1,2,4,6,8,10,12,15,17,19],[3,5,7,9,11,13,14,16,18,20]]

[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,5,7,9,10,11,14,16],[2,4,6,8,12,13,15,17,18]] => [[1,2,4,6,8,11,12,15,17],[3,5,7,9,10,13,14,16,18]]

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]] => [[1,2,4,6,8,10,13,15,17,19],[3,5,7,9,11,12,14,16,18,20]]

[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,9,12,14,16],[2,4,6,10,11,13,15,17,18]] => [[1,2,4,6,9,10,13,15,17],[3,5,7,8,11,12,14,16,18]]

[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14,16,18],[2,4,6,8,11,13,15,17,19,20]] => [[1,2,4,6,8,11,13,15,17,19],[3,5,7,9,10,12,14,16,18,20]]

[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,7,10,12,14,16],[2,4,8,9,11,13,15,17,18]] => [[1,2,4,7,8,11,13,15,17],[3,5,6,9,10,12,14,16,18]]

[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]] => [[1,2,4,6,9,11,13,15,17,19],[3,5,7,8,10,12,14,16,18,20]]

[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,5,8,10,12,14,16],[2,6,7,9,11,13,15,17,18]] => [[1,2,5,6,9,11,13,15,17],[3,4,7,8,10,12,14,16,18]]

[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]] => [[1,2,4,7,9,11,13,15,17,19],[3,5,6,8,10,12,14,16,18,20]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]] => [[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]]

[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] => [[1,3,5,7,9,11,13,15,17,18,20],[2,4,6,8,10,12,14,16,19,21,22]] => [[1,2,4,6,8,10,12,14,16,19,21],[3,5,7,9,11,13,15,17,18,20,22]]

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14,16,18],[4,5,7,9,11,13,15,17,19,20]] => [[1,3,4,7,9,11,13,15,17,19],[2,5,6,8,10,12,14,16,18,20]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16,18,20],[3,5,7,9,11,13,15,17,19,21,22]] => [[1,3,5,7,9,11,13,15,17,19,21],[2,4,6,8,10,12,14,16,18,20,22]]

[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[1,3,5,6,7,9,11,14,16],[2,4,8,10,12,13,15,17,18]] => [[1,2,4,7,8,10,12,15,17],[3,5,6,9,11,13,14,16,18]]

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,9,11,13,16],[2,6,8,10,12,14,15,17,18]] => [[1,2,5,6,8,10,12,14,17],[3,4,7,9,11,13,15,16,18]]

[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,5,7,9,12,14,16,18],[4,6,8,10,11,13,15,17,19,20]] => [[1,3,4,6,8,10,13,15,17,19],[2,5,7,9,11,12,14,16,18,20]]

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11,13,15],[2,6,8,10,12,14,16,17,18]] => [[1,2,5,6,8,10,12,14,16],[3,4,7,9,11,13,15,17,18]]

[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10,12,14],[2,7,9,11,13,15,16,17,18]] => [[1,2,5,6,7,9,11,13,15],[3,4,8,10,12,14,16,17,18]]

[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9,11,13,15,17],[2,6,8,10,12,14,16,18,19,20]] => [[1,2,5,6,8,10,12,14,16,18],[3,4,7,9,11,13,15,17,19,20]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,9,11,13,15,18],[4,6,8,10,12,14,16,17,19,20]] => [[1,3,4,6,8,10,12,14,16,19],[2,5,7,9,11,13,15,17,18,20]]

[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10,12,14,16],[2,7,9,11,13,15,17,18,19,20]] => [[1,2,5,6,7,9,11,13,15,17],[3,4,8,10,12,14,16,18,19,20]]

[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]] => [[1,2,4,6,8,10,12,13,17],[3,5,7,9,11,14,15,16,18]]

[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]] => [[1,2,4,6,8,9,12,14,16],[3,5,7,10,11,13,15,17,18]]

[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]] => [[1,2,4,6,7,10,12,14,16],[3,5,8,9,11,13,15,17,18]]

[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,4,7,9,11,13,15,16],[2,5,6,8,10,12,14,17,18]] => [[1,2,4,5,8,10,12,14,17],[3,6,7,9,11,13,15,16,18]]

[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,7,8,11,13,15,17],[2,5,6,9,10,12,14,16,18]] => [[1,2,4,5,8,9,12,14,16],[3,6,7,10,11,13,15,17,18]]

[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]] => [[1,2,4,5,6,10,12,14,16],[3,7,8,9,11,13,15,17,18]]

[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,3,4,5,6,7,8,15,16],[2,9,10,11,12,13,14,17,18]] => [[1,2,4,5,6,7,8,9,17],[3,10,11,12,13,14,15,16,18]]

[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]] => [[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]] => [[1,2,3,6,8,10,12,14,17],[4,5,7,9,11,13,15,16,18]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,2,5,7,9,11,13,14,17],[3,4,6,8,10,12,15,16,18]] => [[1,2,3,6,8,10,12,14,15],[4,5,7,9,11,13,16,17,18]]

[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]] => [[1,2,3,6,7,8,9,10,11],[4,5,12,13,14,15,16,17,18]]

[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]] => [[1,2,3,4,8,10,12,14,16],[5,6,7,9,11,13,15,17,18]]

[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12],[4,5,6,13,14,15,16,17,18]] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]]

[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]] => [[1,2,3,4,5,10,12,14,16],[6,7,8,9,11,13,15,17,18]]

[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8,14,15,16,17,18]] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10,15,16,17,18]]

[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]] => [[1,2,3,4,5,6,12,14,16],[7,8,9,10,11,13,15,17,18]]

[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]] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12,16,17,18]]

[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]] => [[1,2,3,4,5,6,7,14,16],[8,9,10,11,12,13,15,17,18]]

[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]] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14,17,18]]

[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]] => [[1,2,4,6,8,10,12,13,16,18],[3,5,7,9,11,14,15,17,19,20]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,5,7,9,11,13,15,17,19],[3,4,6,8,10,12,14,16,18,20]] => [[1,2,3,6,8,10,12,14,16,18],[4,5,7,9,11,13,15,17,19,20]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,5,7,9,11,13,15,17,18],[3,4,6,8,10,12,14,16,19,20]] => [[1,2,3,6,8,10,12,14,16,19],[4,5,7,9,11,13,15,17,18,20]]

[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,7,9,11,13,15,17,19],[4,5,6,8,10,12,14,16,18,20]] => [[1,2,3,4,8,10,12,14,16,18],[5,6,7,9,11,13,15,17,19,20]]

[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6,14,15,16,17,18,19,20]] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]]

[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]] => [[1,2,3,4,5,10,12,14,16,18],[6,7,8,9,11,13,15,17,19,20]]

[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8,15,16,17,18,19,20]] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]]

[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]] => [[1,2,3,4,5,6,12,14,16,18],[7,8,9,10,11,13,15,17,19,20]]

[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10,16,17,18,19,20]] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]]

[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]] => [[1,2,3,4,5,6,7,14,16,18],[8,9,10,11,12,13,15,17,19,20]]

[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12,17,18,19,20]] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]]

[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]] => [[1,2,3,4,5,6,7,8,16,18],[9,10,11,12,13,14,15,17,19,20]]

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14,18,19,20]] => [[1,2,3,4,5,6,7,8,17,18],[9,10,11,12,13,14,15,16,19,20]]

[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]] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13,15,17],[3,5,6,8,10,12,14,16,18]] => [[1,2,3,5,8,10,12,14,16],[4,6,7,9,11,13,15,17,18]]

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13,15,17],[3,5,7,8,10,12,14,16,18]] => [[1,2,3,5,7,10,12,14,16],[4,6,8,9,11,13,15,17,18]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,8,11,13,15,17],[3,5,7,9,10,12,14,16,18]] => [[1,2,3,5,7,9,12,14,16],[4,6,8,10,11,13,15,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,10,13,15,17],[3,5,7,9,11,12,14,16,18]] => [[1,2,3,5,7,9,11,14,16],[4,6,8,10,12,13,15,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,10,12,15,17],[3,5,7,9,11,13,14,16,18]] => [[1,2,3,5,7,9,11,13,16],[4,6,8,10,12,14,15,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,12,14,17],[3,5,7,9,11,13,15,16,18]] => [[1,2,3,5,7,9,11,13,15],[4,6,8,10,12,14,16,17,18]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,7,9,11,13,15,17,19],[3,5,6,8,10,12,14,16,18,20]] => [[1,2,3,5,8,10,12,14,16,18],[4,6,7,9,11,13,15,17,19,20]]

[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,5,9,11,13,15,17],[3,6,7,8,10,12,14,16,18]] => [[1,2,3,5,6,10,12,14,16],[4,7,8,9,11,13,15,17,18]]

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,9,11,13,15,17,19],[3,5,7,8,10,12,14,16,18,20]] => [[1,2,3,5,7,10,12,14,16,18],[4,6,8,9,11,13,15,17,19,20]]

[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,7,11,13,15,17],[3,5,8,9,10,12,14,16,18]] => [[1,2,3,5,7,8,12,14,16],[4,6,9,10,11,13,15,17,18]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,8,11,13,15,17,19],[3,5,7,9,10,12,14,16,18,20]] => [[1,2,3,5,7,9,12,14,16,18],[4,6,8,10,11,13,15,17,19,20]]

[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,9,13,15,17],[3,5,7,10,11,12,14,16,18]] => [[1,2,3,5,7,9,10,14,16],[4,6,8,11,12,13,15,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,4,6,8,10,13,15,17,19],[3,5,7,9,11,12,14,16,18,20]] => [[1,2,3,5,7,9,11,14,16,18],[4,6,8,10,12,13,15,17,19,20]]

[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [[1,2,4,6,8,10,11,15,17],[3,5,7,9,12,13,14,16,18]] => [[1,2,3,5,7,9,11,12,16],[4,6,8,10,13,14,15,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[1,2,4,6,8,10,12,15,17,19],[3,5,7,9,11,13,14,16,18,20]] => [[1,2,3,5,7,9,11,13,16,18],[4,6,8,10,12,14,15,17,19,20]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [[1,2,4,6,8,10,12,13,17],[3,5,7,9,11,14,15,16,18]] => [[1,2,3,5,7,9,11,13,14],[4,6,8,10,12,15,16,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[1,2,4,6,8,10,12,14,17,19],[3,5,7,9,11,13,15,16,18,20]] => [[1,2,3,5,7,9,11,13,15,18],[4,6,8,10,12,14,16,17,19,20]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,4,6,8,10,12,14,16,19],[3,5,7,9,11,13,15,17,18,20]] => [[1,2,3,5,7,9,11,13,15,17],[4,6,8,10,12,14,16,18,19,20]]

[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,9,11,13,14],[6,8,10,12,15,16,17,18,19,20]] => [[1,3,4,5,6,8,10,12,14,15],[2,7,9,11,13,16,17,18,19,20]]

[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11,13,15],[7,8,10,12,14,16,17,18,19,20]] => [[1,3,4,5,6,7,10,12,14,16],[2,8,9,11,13,15,17,18,19,20]]

[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,7,9,11,13,15,16],[6,8,10,12,14,17,18,19,20,21,22]] => [[1,3,4,5,6,8,10,12,14,16,17],[2,7,9,11,13,15,18,19,20,21,22]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [[1,2,3,4,6,8,10,12,14,15],[5,7,9,11,13,16,17,18,19,20]] => [[1,3,4,5,7,9,11,13,15,16],[2,6,8,10,12,14,17,18,19,20]]

[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,5,8,10,12,14,16],[6,7,9,11,13,15,17,18,19,20]] => [[1,3,4,5,6,9,11,13,15,17],[2,7,8,10,12,14,16,18,19,20]]

[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,9,11,13,15,17],[7,8,10,12,14,16,18,19,20,21,22]] => [[1,3,4,5,6,7,10,12,14,16,18],[2,8,9,11,13,15,17,19,20,21,22]]

[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]] => [[1,2,3,6,8,10,12,14,16,18,20],[4,5,7,9,11,13,15,17,19,21,22]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,11,13,14,16],[3,4,6,8,10,12,15,17,18]] => [[1,2,3,6,8,10,12,15,17],[4,5,7,9,11,13,14,16,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,2,4,6,8,10,12,14,16,17],[3,5,7,9,11,13,15,18,19,20]] => [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]]

[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,10,11],[9,12,13,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,9,11,12],[2,10,13,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,12],[10,11,13,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,9,10,13],[2,11,12,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,11,12],[10,13,14,15,16,17,18,19,20,21,22]] => [[1,3,4,5,6,7,8,9,10,12,13],[2,11,14,15,16,17,18,19,20,21,22]]

[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,11,12],[8,10,13,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,10,12,13],[2,9,11,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,11,13],[9,10,12,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,9,12,14],[2,10,11,13,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,10,13],[11,12,14,15,16,17,18,19,20,21,22]] => [[1,3,4,5,6,7,8,9,10,11,14],[2,12,13,15,16,17,18,19,20,21,22]]

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,5,7,9,11,13,15,16,18],[3,4,6,8,10,12,14,17,19,20]] => [[1,2,3,6,8,10,12,14,17,19],[4,5,7,9,11,13,15,16,18,20]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,2,4,7,9,11,13,14,16],[3,5,6,8,10,12,15,17,18]] => [[1,2,3,5,8,10,12,15,17],[4,6,7,9,11,13,14,16,18]]

[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,4,7,9,11,13,14,16],[2,5,6,8,10,12,15,17,18]] => [[1,2,4,5,8,10,12,15,17],[3,6,7,9,11,13,14,16,18]]

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,2,4,7,9,11,13,15,16],[3,5,6,8,10,12,14,17,18]] => [[1,2,3,5,8,10,12,14,17],[4,6,7,9,11,13,15,16,18]]

[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,3,5,7,9,11,13,17],[4,6,8,10,12,14,15,16,18]] => [[1,2,3,4,6,8,10,12,14],[5,7,9,11,13,15,16,17,18]]

[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [[1,2,3,5,7,9,11,15,17],[4,6,8,10,12,13,14,16,18]] => [[1,2,3,4,6,8,10,12,16],[5,7,9,11,13,14,15,17,18]]

[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [[1,2,3,5,7,9,13,15,17],[4,6,8,10,11,12,14,16,18]] => [[1,2,3,4,6,8,10,14,16],[5,7,9,11,12,13,15,17,18]]

[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,5,7,11,13,15,17],[4,6,8,9,10,12,14,16,18]] => [[1,2,3,4,6,8,12,14,16],[5,7,9,10,11,13,15,17,18]]

[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,5,9,11,13,15,17],[4,6,7,8,10,12,14,16,18]] => [[1,2,3,4,6,10,12,14,16],[5,7,8,9,11,13,15,17,18]]

[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,4,5,6,7,8,9,10,11],[3,12,13,14,15,16,17,18,19,20]] => [[1,3,5,6,7,8,9,10,11,12],[2,4,13,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,9,18],[10,11,12,13,14,15,16,17,19,20]] => [[1,3,4,5,6,7,8,9,10,19],[2,11,12,13,14,15,16,17,18,20]]

[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,9,10,20],[11,12,13,14,15,16,17,18,19,21,22]] => [[1,3,4,5,6,7,8,9,10,11,21],[2,12,13,14,15,16,17,18,19,20,22]]

[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [[1,2,3,4,5,6,7,8,10,18],[9,11,12,13,14,15,16,17,19,20]] => [[1,3,4,5,6,7,8,9,11,19],[2,10,12,13,14,15,16,17,18,20]]

[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [[1,2,3,4,5,6,12,15,17],[7,8,9,10,11,13,14,16,18]] => [[1,2,3,4,5,6,7,13,16],[8,9,10,11,12,14,15,17,18]]

[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [[1,2,3,4,5,10,13,15,17],[6,7,8,9,11,12,14,16,18]] => [[1,2,3,4,5,6,11,14,16],[7,8,9,10,12,13,15,17,18]]

[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,3,4,8,11,13,15,17],[5,6,7,9,10,12,14,16,18]] => [[1,2,3,4,5,9,12,14,16],[6,7,8,10,11,13,15,17,18]]

[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[1,2,3,6,9,11,13,15,17],[4,5,7,8,10,12,14,16,18]] => [[1,2,3,4,7,10,12,14,16],[5,6,8,9,11,13,15,17,18]]

[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,11],[10,12,13,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,9,10,11],[8,12,13,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,10,11,12],[2,9,13,14,15,16,17,18,19,20]]

[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,8,9,10,11],[7,12,13,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,9,10,11,12],[2,8,13,14,15,16,17,18,19,20]]

[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,7,8,9,10,11],[6,12,13,14,15,16,17,18,19,20]] => [[1,3,4,5,6,8,9,10,11,12],[2,7,13,14,15,16,17,18,19,20]]

[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,6,7,8,9,10,11],[5,12,13,14,15,16,17,18,19,20]] => [[1,3,4,5,7,8,9,10,11,12],[2,6,13,14,15,16,17,18,19,20]]

[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,2,3,5,6,7,8,9,10,11],[4,12,13,14,15,16,17,18,19,20]] => [[1,3,4,6,7,8,9,10,11,12],[2,5,13,14,15,16,17,18,19,20]]

[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [[1,2,3,5,7,9,11,15,16],[4,6,8,10,12,13,14,17,18]] => [[1,2,3,4,6,8,10,12,17],[5,7,9,11,13,14,15,16,18]]

[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,5,6,7,9,11,13,15],[3,4,8,10,12,14,16,17,18]] => [[1,2,3,7,8,10,12,14,16],[4,5,6,9,11,13,15,17,18]]

[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [[1,2,4,5,7,9,11,13,17],[3,6,8,10,12,14,15,16,18]] => [[1,2,3,5,6,8,10,12,14],[4,7,9,11,13,15,16,17,18]]

[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [[1,2,4,5,7,9,11,13,15,17],[3,6,8,10,12,14,16,18,19,20]] => [[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]]

[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,10,12],[11,13,14,15,16,17,18,19,20,21,22]] => [[1,3,4,5,6,7,8,9,10,11,13],[2,12,14,15,16,17,18,19,20,21,22]]

[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,4,7,8,9,10,11,12],[3,5,6,13,14,15,16,17,18]] => [[1,2,3,5,9,10,11,12,13],[4,6,7,8,14,15,16,17,18]]

[1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [[1,2,3,5,9,10,11,12,13],[4,6,7,8,14,15,16,17,18]] => [[1,2,3,4,6,11,12,13,14],[5,7,8,9,10,15,16,17,18]]

[1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0] => [[1,2,3,4,6,11,12,13,14],[5,7,8,9,10,15,16,17,18]] => [[1,2,3,4,5,7,13,14,15],[6,8,9,10,11,12,16,17,18]]

[1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,5,7,13,14,15],[6,8,9,10,11,12,16,17,18]] => [[1,2,3,4,5,6,8,15,16],[7,9,10,11,12,13,14,17,18]]

[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,4,6,8,11,13,15,17],[2,5,7,9,10,12,14,16,18]] => [[1,2,4,5,7,9,12,14,16],[3,6,8,10,11,13,15,17,18]]

[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,3,5,6,8,11,13,15,17],[2,4,7,9,10,12,14,16,18]] => [[1,2,4,6,7,9,12,14,16],[3,5,8,10,11,13,15,17,18]]

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,3,5,7,9,11,12,14,17,19],[2,4,6,8,10,13,15,16,18,20]] => [[1,2,4,6,8,10,12,13,15,18],[3,5,7,9,11,14,16,17,19,20]]

[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,3,5,7,9,11,12,14,16,19],[2,4,6,8,10,13,15,17,18,20]] => [[1,2,4,6,8,10,12,13,15,17],[3,5,7,9,11,14,16,18,19,20]]

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[1,2,4,6,8,11,13,15,16],[3,5,7,9,10,12,14,17,18]] => [[1,2,3,5,7,9,12,14,17],[4,6,8,10,11,13,15,16,18]]

[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[1,2,5,6,8,11,13,15,17],[3,4,7,9,10,12,14,16,18]] => [[1,2,3,6,7,9,12,14,16],[4,5,8,10,11,13,15,17,18]]

[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,5,7,9,12,14,16,18],[3,6,8,10,11,13,15,17,19,20]] => [[1,3,5,6,8,10,13,15,17,19],[2,4,7,9,11,12,14,16,18,20]]

[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,7,9,12,14,16,18],[3,5,8,10,11,13,15,17,19,20]] => [[1,3,5,7,8,10,13,15,17,19],[2,4,6,9,11,12,14,16,18,20]]

[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,9,12,14,16,18],[3,5,7,10,11,13,15,17,19,20]] => [[1,3,5,7,9,10,13,15,17,19],[2,4,6,8,11,12,14,16,18,20]]

[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [[1,3,4,5,6,7,9,11,13,15],[2,8,10,12,14,16,17,18,19,20]] => [[1,2,5,6,7,8,10,12,14,16],[3,4,9,11,13,15,17,18,19,20]]

[1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [[1,3,4,5,6,9,11,13,15],[2,7,8,10,12,14,16,17,18]] => [[1,2,5,6,7,10,12,14,16],[3,4,8,9,11,13,15,17,18]]

[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[1,2,3,6,8,10,12,14,17],[4,5,7,9,11,13,15,16,18]] => [[1,2,3,4,7,9,11,13,15],[5,6,8,10,12,14,16,17,18]]

[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [[1,3,4,6,8,10,12,14,15],[2,5,7,9,11,13,16,17,18]] => [[1,2,5,7,9,11,13,15,16],[3,4,6,8,10,12,14,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[1,2,4,6,8,10,12,15,16],[3,5,7,9,11,13,14,17,18]] => [[1,2,3,5,7,9,11,13,17],[4,6,8,10,12,14,15,16,18]]

[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,5,6,8,10,12,14,16],[3,4,7,9,11,13,15,17,18]] => [[1,2,3,7,9,11,13,15,17],[4,5,6,8,10,12,14,16,18]]

[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [[1,2,4,6,8,10,13,14,15],[3,5,7,9,11,12,16,17,18]] => [[1,2,3,5,7,9,11,15,16],[4,6,8,10,12,13,14,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [[1,2,4,6,8,10,12,14,15,16],[3,5,7,9,11,13,17,18,19,20]] => [[1,3,5,7,9,11,13,15,16,17],[2,4,6,8,10,12,14,18,19,20]]

[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [[1,2,4,6,8,11,12,13,14],[3,5,7,9,10,15,16,17,18]] => [[1,2,3,5,7,9,13,14,15],[4,6,8,10,11,12,16,17,18]]

[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,8,10,12,13,14,16],[3,5,7,9,11,15,17,18,19,20]] => [[1,3,5,7,9,11,13,14,15,17],[2,4,6,8,10,12,16,18,19,20]]

[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,4,6,9,10,11,12,14],[3,5,7,8,13,15,16,17,18]] => [[1,2,3,5,7,11,12,13,15],[4,6,8,9,10,14,16,17,18]]

[1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,8,10,11,12,14,16],[3,5,7,9,13,15,17,18,19,20]] => [[1,3,5,7,9,11,12,13,15,17],[2,4,6,8,10,14,16,18,19,20]]

[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,4,7,8,9,10,12,14],[3,5,6,11,13,15,16,17,18]] => [[1,2,3,5,9,10,11,13,15],[4,6,7,8,12,14,16,17,18]]

[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,8,9,10,12,14,16],[3,5,7,11,13,15,17,18,19,20]] => [[1,3,5,7,9,10,11,13,15,17],[2,4,6,8,12,14,16,18,19,20]]

[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,5,6,7,8,10,12,14],[3,4,9,11,13,15,16,17,18]] => [[1,2,3,7,8,9,11,13,15],[4,5,6,10,12,14,16,17,18]]

[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,6,7,8,10,12,14,16],[3,5,9,11,13,15,17,18,19,20]] => [[1,3,5,7,8,9,11,13,15,17],[2,4,6,10,12,14,16,18,19,20]]

[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,4,5,6,8,10,12,14,16],[3,7,9,11,13,15,17,18,19,20]] => [[1,3,5,6,7,9,11,13,15,17],[2,4,8,10,12,14,16,18,19,20]]

[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8,10,12,14,16],[5,7,9,11,13,15,17,18,19,20]] => [[1,3,4,5,7,9,11,13,15,17],[2,6,8,10,12,14,16,18,19,20]]

[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,5,6,8,9,10,11,12],[3,4,7,13,14,15,16,17,18]] => [[1,2,3,7,9,10,11,12,13],[4,5,6,8,14,15,16,17,18]]

[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [[1,2,3,5,6,7,8,15,16],[4,9,10,11,12,13,14,17,18]] => [[1,2,3,4,6,7,8,9,17],[5,10,11,12,13,14,15,16,18]]

[1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,7,8,9,11,12,13],[4,5,6,10,14,15,16,17,18]] => [[1,2,3,4,9,10,12,13,14],[5,6,7,8,11,15,16,17,18]]

[1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0] => [[1,2,3,4,6,7,13,14,15],[5,8,9,10,11,12,16,17,18]] => [[1,2,3,4,5,7,8,15,16],[6,9,10,11,12,13,14,17,18]]

[1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,9,10,11,12,14],[5,6,7,8,13,15,16,17,18]] => [[1,2,3,4,5,11,12,13,15],[6,7,8,9,10,14,16,17,18]]

[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0] => [[1,2,3,4,5,6,13,14,16],[7,8,9,10,11,12,15,17,18]] => [[1,2,3,4,5,6,7,15,17],[8,9,10,11,12,13,14,16,18]]

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [[1,2,3,4,5,6,7,8,9,17],[10,11,12,13,14,15,16,18,19,20]] => [[1,3,4,5,6,7,8,9,10,18],[2,11,12,13,14,15,16,17,19,20]]

[1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [[1,2,3,4,5,11,12,13,15],[6,7,8,9,10,14,16,17,18]] => [[1,2,3,4,5,6,13,14,16],[7,8,9,10,11,12,15,17,18]]

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,16],[10,11,12,13,14,15,17,18,19,20]] => [[1,3,4,5,6,7,8,9,10,17],[2,11,12,13,14,15,16,18,19,20]]

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,15],[10,11,12,13,14,16,17,18,19,20]] => [[1,3,4,5,6,7,8,9,10,16],[2,11,12,13,14,15,17,18,19,20]]

[1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,7,8,9,10,11,13],[4,5,6,12,14,15,16,17,18]] => [[1,2,3,4,9,10,11,12,14],[5,6,7,8,13,15,16,17,18]]

[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,14],[10,11,12,13,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,9,10,15],[2,11,12,13,14,16,17,18,19,20]]

[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [[1,2,3,4,5,6,7,8,9,13],[10,11,12,14,15,16,17,18,19,20]] => [[1,3,4,5,6,7,8,9,10,14],[2,11,12,13,15,16,17,18,19,20]]

[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,9,11,12,14,16],[2,4,7,8,10,13,15,17,18]] => [[1,2,4,6,7,10,13,15,17],[3,5,8,9,11,12,14,16,18]]

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.

Map

promotion

Description

The promotion of a standard Young tableau.
This map replaces the largest entry of the tableau with a zero, uses the jeu de taquin to move it to the origin, and finally increases all entries by one.