- FindStat

Identifier

Mp00033: Dyck paths —to two-row standard tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
Mp00284: Standard tableaux —rows⟶ Set partitions

Images

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 196 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],[3,7],[4,8],[5,9],[6,10],[11,12]] => {{1,2},{3,7},{4,8},{5,9},{6,10},{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],[3,7],[4,8],[5,9],[6,11],[10,12]] => {{1,2},{3,7},{4,8},{5,9},{6,11},{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],[3,7],[4,8],[5,10],[6,11],[9,12]] => {{1,2},{3,7},{4,8},{5,10},{6,11},{9,12}}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

conjugate

Description

Sends a standard tableau to its conjugate tableau.

Map

rows

Description

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