- FindStat

Identifier

Mp00028: Dyck paths —reverse⟶ Dyck paths
Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00284: Standard tableaux —rows⟶ Set partitions

Images

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 454 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => {{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] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => {{1,3,4,5,6,7,8,9,10},{2,11,12,13,14,15,16,17,18}}

[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]] => {{1,2,3,4,5,6,7,8,17},{9,10,11,12,13,14,15,16,18}}

[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => {{1,3,4,5,6,7,8,9,10,11},{2,12,13,14,15,16,17,18,19,20}}

[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]] => {{1,3,4,5,6,7,8,9,11},{2,10,12,13,14,15,16,17,18}}

[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]] => {{1,2,3,4,5,6,7,9,17},{8,10,11,12,13,14,15,16,18}}

[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]] => {{1,2,3,4,5,6,7,8,9,19},{10,11,12,13,14,15,16,17,18,20}}

[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => {{1,3,4,5,6,7,8,9,10,11,12},{2,13,14,15,16,17,18,19,20,21,22}}

[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]] => {{1,3,4,5,6,7,8,9,10,12},{2,11,13,14,15,16,17,18,19,20}}

[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]] => {{1,3,4,5,6,7,8,10,11},{2,9,12,13,14,15,16,17,18}}

[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]] => {{1,3,4,5,6,7,8,9,12},{2,10,11,13,14,15,16,17,18}}

[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]] => {{1,2,3,4,5,6,8,9,17},{7,10,11,12,13,14,15,16,18}}

[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]] => {{1,2,3,4,5,6,7,10,17},{8,9,11,12,13,14,15,16,18}}

[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]] => {{1,2,3,4,5,6,7,8,10,19},{9,11,12,13,14,15,16,17,18,20}}

[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]] => {{1,2,3,4,5,6,7,8,9,10,21},{11,12,13,14,15,16,17,18,19,20,22}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]] => {{1,2,4,6,8,10,12,14,16},{3,5,7,9,11,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]] => {{1,2,3,6,8,10,12,14,16},{4,5,7,9,11,13,15,17,18}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]] => {{1,3,5,7,9,11,13,15,17},{2,4,6,8,10,12,14,16,18}}

[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]] => {{1,3,5,7,9,11,13,15,17,19},{2,4,6,8,10,12,14,16,18,20}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]] => {{1,2,4,6,8,10,12,14,16,18},{3,5,7,9,11,13,15,17,19,20}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]] => {{1,3,5,7,9,11,13,15,16},{2,4,6,8,10,12,14,17,18}}

[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]] => {{1,3,5,7,9,11,13,14,15},{2,4,6,8,10,12,16,17,18}}

[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]] => {{1,3,5,7,9,11,13,15,17,18},{2,4,6,8,10,12,14,16,19,20}}

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]] => {{1,3,5,7,9,11,13,14,16},{2,4,6,8,10,12,15,17,18}}

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]] => {{1,3,5,7,9,11,12,14,16},{2,4,6,8,10,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]] => {{1,3,5,7,9,10,12,14,16},{2,4,6,8,11,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]] => {{1,3,5,7,8,10,12,14,16},{2,4,6,9,11,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]] => {{1,3,5,6,8,10,12,14,16},{2,4,7,9,11,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]] => {{1,3,4,6,8,10,12,14,16},{2,5,7,9,11,13,15,17,18}}

[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]] => {{1,3,5,7,9,11,13,15,16,18},{2,4,6,8,10,12,14,17,19,20}}

[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]] => {{1,3,5,7,9,11,12,13,16},{2,4,6,8,10,14,15,17,18}}

[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]] => {{1,3,5,7,9,11,13,14,16,18},{2,4,6,8,10,12,15,17,19,20}}

[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,5,7,9,10,11,14,16],[2,4,6,8,12,13,15,17,18]] => {{1,3,5,7,9,10,11,14,16},{2,4,6,8,12,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]] => {{1,3,5,7,9,11,12,14,16,18},{2,4,6,8,10,13,15,17,19,20}}

[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,9,12,14,16],[2,4,6,10,11,13,15,17,18]] => {{1,3,5,7,8,9,12,14,16},{2,4,6,10,11,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [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]] => {{1,3,5,7,9,10,12,14,16,18},{2,4,6,8,11,13,15,17,19,20}}

[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,7,10,12,14,16],[2,4,8,9,11,13,15,17,18]] => {{1,3,5,6,7,10,12,14,16},{2,4,8,9,11,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]] => {{1,3,5,7,8,10,12,14,16,18},{2,4,6,9,11,13,15,17,19,20}}

[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [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]] => {{1,3,4,5,8,10,12,14,16},{2,6,7,9,11,13,15,17,18}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]] => {{1,3,5,6,8,10,12,14,16,18},{2,4,7,9,11,13,15,17,19,20}}

[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]] => {{1,3,4,6,8,10,12,14,16,18},{2,5,7,9,11,13,15,17,19,20}}

Map

reverse

Description

The reversal of a Dyck path.
This is the Dyck path obtained by reading the path backwards.

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

rows

Description

The set partition whose blocks are the rows of the tableau.