- FindStat

Identifier

Mp00092: Perfect matchings —to set partition⟶ Set partitions
Mp00115: Set partitions —Kasraoui-Zeng⟶ Set partitions

Images

[(1,2)] => {{1,2}} => {{1,2}}

[(1,2),(3,4)] => {{1,2},{3,4}} => {{1,2},{3,4}}

[(1,3),(2,4)] => {{1,3},{2,4}} => {{1,4},{2,3}}

[(1,4),(2,3)] => {{1,4},{2,3}} => {{1,3},{2,4}}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 562 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Map

to set partition

Description

Return the set partition corresponding to the perfect matching.

Map

Kasraoui-Zeng

Description

The Kasraoui-Zeng involution.
This is defined in [1] and yields the set partition with the number of nestings and crossings exchanged.