Identifier
Mp00116:
Perfect matchings
—Kasraoui-Zeng⟶
Perfect matchings
Mp00092: Perfect matchings —to set partition⟶ Set partitions
Mp00092: Perfect matchings —to set partition⟶ Set partitions
Images
=>
Cc0012;cc-rep-0Cc0012;cc-rep-1Cc0009;cc-rep-2
[(1,2)]=>[(1,2)]=>{{1,2}}
[(1,2),(3,4)]=>[(1,2),(3,4)]=>{{1,2},{3,4}}
[(1,3),(2,4)]=>[(1,4),(2,3)]=>{{1,4},{2,3}}
[(1,4),(2,3)]=>[(1,3),(2,4)]=>{{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)]=>[(1,4),(2,3),(5,6)]=>{{1,4},{2,3},{5,6}}
[(1,4),(2,3),(5,6)]=>[(1,3),(2,4),(5,6)]=>{{1,3},{2,4},{5,6}}
[(1,5),(2,3),(4,6)]=>[(1,3),(2,6),(4,5)]=>{{1,3},{2,6},{4,5}}
[(1,6),(2,3),(4,5)]=>[(1,3),(2,5),(4,6)]=>{{1,3},{2,5},{4,6}}
[(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)]=>{{1,6},{2,4},{3,5}}
[(1,4),(2,5),(3,6)]=>[(1,6),(2,5),(3,4)]=>{{1,6},{2,5},{3,4}}
[(1,3),(2,5),(4,6)]=>[(1,6),(2,3),(4,5)]=>{{1,6},{2,3},{4,5}}
[(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)]=>{{1,2},{3,5},{4,6}}
[(1,3),(2,6),(4,5)]=>[(1,5),(2,3),(4,6)]=>{{1,5},{2,3},{4,6}}
[(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)]=>{{1,4},{2,6},{3,5}}
[(1,6),(2,5),(3,4)]=>[(1,4),(2,5),(3,6)]=>{{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)]=>[(1,4),(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)]=>{{1,3},{2,4},{5,6},{7,8}}
[(1,5),(2,3),(4,6),(7,8)]=>[(1,3),(2,6),(4,5),(7,8)]=>{{1,3},{2,6},{4,5},{7,8}}
[(1,6),(2,3),(4,5),(7,8)]=>[(1,3),(2,5),(4,6),(7,8)]=>{{1,3},{2,5},{4,6},{7,8}}
[(1,7),(2,3),(4,5),(6,8)]=>[(1,3),(2,5),(4,8),(6,7)]=>{{1,3},{2,5},{4,8},{6,7}}
[(1,8),(2,3),(4,5),(6,7)]=>[(1,3),(2,5),(4,7),(6,8)]=>{{1,3},{2,5},{4,7},{6,8}}
[(1,8),(2,4),(3,5),(6,7)]=>[(1,5),(2,4),(3,7),(6,8)]=>{{1,5},{2,4},{3,7},{6,8}}
[(1,7),(2,4),(3,5),(6,8)]=>[(1,5),(2,4),(3,8),(6,7)]=>{{1,5},{2,4},{3,8},{6,7}}
[(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)]=>{{1,6},{2,4},{3,5},{7,8}}
[(1,4),(2,5),(3,6),(7,8)]=>[(1,6),(2,5),(3,4),(7,8)]=>{{1,6},{2,5},{3,4},{7,8}}
[(1,3),(2,5),(4,6),(7,8)]=>[(1,6),(2,3),(4,5),(7,8)]=>{{1,6},{2,3},{4,5},{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)]=>{{1,2},{3,5},{4,6},{7,8}}
[(1,3),(2,6),(4,5),(7,8)]=>[(1,5),(2,3),(4,6),(7,8)]=>{{1,5},{2,3},{4,6},{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)]=>{{1,4},{2,6},{3,5},{7,8}}
[(1,6),(2,5),(3,4),(7,8)]=>[(1,4),(2,5),(3,6),(7,8)]=>{{1,4},{2,5},{3,6},{7,8}}
[(1,7),(2,5),(3,4),(6,8)]=>[(1,4),(2,5),(3,8),(6,7)]=>{{1,4},{2,5},{3,8},{6,7}}
[(1,8),(2,5),(3,4),(6,7)]=>[(1,4),(2,5),(3,7),(6,8)]=>{{1,4},{2,5},{3,7},{6,8}}
[(1,8),(2,6),(3,4),(5,7)]=>[(1,4),(2,7),(3,6),(5,8)]=>{{1,4},{2,7},{3,6},{5,8}}
[(1,7),(2,6),(3,4),(5,8)]=>[(1,4),(2,8),(3,6),(5,7)]=>{{1,4},{2,8},{3,6},{5,7}}
[(1,6),(2,7),(3,4),(5,8)]=>[(1,4),(2,8),(3,7),(5,6)]=>{{1,4},{2,8},{3,7},{5,6}}
[(1,5),(2,7),(3,4),(6,8)]=>[(1,4),(2,8),(3,5),(6,7)]=>{{1,4},{2,8},{3,5},{6,7}}
[(1,4),(2,7),(3,5),(6,8)]=>[(1,5),(2,8),(3,4),(6,7)]=>{{1,5},{2,8},{3,4},{6,7}}
[(1,3),(2,7),(4,5),(6,8)]=>[(1,5),(2,3),(4,8),(6,7)]=>{{1,5},{2,3},{4,8},{6,7}}
[(1,2),(3,7),(4,5),(6,8)]=>[(1,2),(3,5),(4,8),(6,7)]=>{{1,2},{3,5},{4,8},{6,7}}
[(1,2),(3,8),(4,5),(6,7)]=>[(1,2),(3,5),(4,7),(6,8)]=>{{1,2},{3,5},{4,7},{6,8}}
[(1,3),(2,8),(4,5),(6,7)]=>[(1,5),(2,3),(4,7),(6,8)]=>{{1,5},{2,3},{4,7},{6,8}}
[(1,4),(2,8),(3,5),(6,7)]=>[(1,5),(2,7),(3,4),(6,8)]=>{{1,5},{2,7},{3,4},{6,8}}
[(1,5),(2,8),(3,4),(6,7)]=>[(1,4),(2,7),(3,5),(6,8)]=>{{1,4},{2,7},{3,5},{6,8}}
[(1,6),(2,8),(3,4),(5,7)]=>[(1,4),(2,7),(3,8),(5,6)]=>{{1,4},{2,7},{3,8},{5,6}}
[(1,7),(2,8),(3,4),(5,6)]=>[(1,4),(2,6),(3,8),(5,7)]=>{{1,4},{2,6},{3,8},{5,7}}
[(1,8),(2,7),(3,4),(5,6)]=>[(1,4),(2,6),(3,7),(5,8)]=>{{1,4},{2,6},{3,7},{5,8}}
[(1,8),(2,7),(3,5),(4,6)]=>[(1,6),(2,5),(3,7),(4,8)]=>{{1,6},{2,5},{3,7},{4,8}}
[(1,7),(2,8),(3,5),(4,6)]=>[(1,6),(2,5),(3,8),(4,7)]=>{{1,6},{2,5},{3,8},{4,7}}
[(1,6),(2,8),(3,5),(4,7)]=>[(1,7),(2,5),(3,8),(4,6)]=>{{1,7},{2,5},{3,8},{4,6}}
[(1,5),(2,8),(3,6),(4,7)]=>[(1,7),(2,6),(3,8),(4,5)]=>{{1,7},{2,6},{3,8},{4,5}}
[(1,4),(2,8),(3,6),(5,7)]=>[(1,7),(2,6),(3,4),(5,8)]=>{{1,7},{2,6},{3,4},{5,8}}
[(1,3),(2,8),(4,6),(5,7)]=>[(1,7),(2,3),(4,6),(5,8)]=>{{1,7},{2,3},{4,6},{5,8}}
[(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)]=>{{1,2},{3,8},{4,6},{5,7}}
[(1,3),(2,7),(4,6),(5,8)]=>[(1,8),(2,3),(4,6),(5,7)]=>{{1,8},{2,3},{4,6},{5,7}}
[(1,4),(2,7),(3,6),(5,8)]=>[(1,8),(2,6),(3,4),(5,7)]=>{{1,8},{2,6},{3,4},{5,7}}
[(1,5),(2,7),(3,6),(4,8)]=>[(1,8),(2,6),(3,7),(4,5)]=>{{1,8},{2,6},{3,7},{4,5}}
[(1,6),(2,7),(3,5),(4,8)]=>[(1,8),(2,5),(3,7),(4,6)]=>{{1,8},{2,5},{3,7},{4,6}}
[(1,7),(2,6),(3,5),(4,8)]=>[(1,8),(2,5),(3,6),(4,7)]=>{{1,8},{2,5},{3,6},{4,7}}
[(1,8),(2,6),(3,5),(4,7)]=>[(1,7),(2,5),(3,6),(4,8)]=>{{1,7},{2,5},{3,6},{4,8}}
[(1,8),(2,5),(3,6),(4,7)]=>[(1,7),(2,6),(3,5),(4,8)]=>{{1,7},{2,6},{3,5},{4,8}}
[(1,7),(2,5),(3,6),(4,8)]=>[(1,8),(2,6),(3,5),(4,7)]=>{{1,8},{2,6},{3,5},{4,7}}
[(1,6),(2,5),(3,7),(4,8)]=>[(1,8),(2,7),(3,5),(4,6)]=>{{1,8},{2,7},{3,5},{4,6}}
[(1,5),(2,6),(3,7),(4,8)]=>[(1,8),(2,7),(3,6),(4,5)]=>{{1,8},{2,7},{3,6},{4,5}}
[(1,4),(2,6),(3,7),(5,8)]=>[(1,8),(2,7),(3,4),(5,6)]=>{{1,8},{2,7},{3,4},{5,6}}
[(1,3),(2,6),(4,7),(5,8)]=>[(1,8),(2,3),(4,7),(5,6)]=>{{1,8},{2,3},{4,7},{5,6}}
[(1,2),(3,6),(4,7),(5,8)]=>[(1,2),(3,8),(4,7),(5,6)]=>{{1,2},{3,8},{4,7},{5,6}}
[(1,2),(3,5),(4,7),(6,8)]=>[(1,2),(3,8),(4,5),(6,7)]=>{{1,2},{3,8},{4,5},{6,7}}
[(1,3),(2,5),(4,7),(6,8)]=>[(1,8),(2,3),(4,5),(6,7)]=>{{1,8},{2,3},{4,5},{6,7}}
[(1,4),(2,5),(3,7),(6,8)]=>[(1,8),(2,5),(3,4),(6,7)]=>{{1,8},{2,5},{3,4},{6,7}}
[(1,5),(2,4),(3,7),(6,8)]=>[(1,8),(2,4),(3,5),(6,7)]=>{{1,8},{2,4},{3,5},{6,7}}
[(1,6),(2,4),(3,7),(5,8)]=>[(1,8),(2,4),(3,7),(5,6)]=>{{1,8},{2,4},{3,7},{5,6}}
[(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)]=>{{1,7},{2,4},{3,6},{5,8}}
[(1,8),(2,3),(4,6),(5,7)]=>[(1,3),(2,7),(4,6),(5,8)]=>{{1,3},{2,7},{4,6},{5,8}}
[(1,7),(2,3),(4,6),(5,8)]=>[(1,3),(2,8),(4,6),(5,7)]=>{{1,3},{2,8},{4,6},{5,7}}
[(1,6),(2,3),(4,7),(5,8)]=>[(1,3),(2,8),(4,7),(5,6)]=>{{1,3},{2,8},{4,7},{5,6}}
[(1,5),(2,3),(4,7),(6,8)]=>[(1,3),(2,8),(4,5),(6,7)]=>{{1,3},{2,8},{4,5},{6,7}}
[(1,4),(2,3),(5,7),(6,8)]=>[(1,3),(2,4),(5,8),(6,7)]=>{{1,3},{2,4},{5,8},{6,7}}
[(1,3),(2,4),(5,7),(6,8)]=>[(1,4),(2,3),(5,8),(6,7)]=>{{1,4},{2,3},{5,8},{6,7}}
[(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)]=>{{1,2},{3,4},{5,7},{6,8}}
[(1,3),(2,4),(5,8),(6,7)]=>[(1,4),(2,3),(5,7),(6,8)]=>{{1,4},{2,3},{5,7},{6,8}}
[(1,4),(2,3),(5,8),(6,7)]=>[(1,3),(2,4),(5,7),(6,8)]=>{{1,3},{2,4},{5,7},{6,8}}
[(1,5),(2,3),(4,8),(6,7)]=>[(1,3),(2,7),(4,5),(6,8)]=>{{1,3},{2,7},{4,5},{6,8}}
[(1,6),(2,3),(4,8),(5,7)]=>[(1,3),(2,7),(4,8),(5,6)]=>{{1,3},{2,7},{4,8},{5,6}}
[(1,7),(2,3),(4,8),(5,6)]=>[(1,3),(2,6),(4,8),(5,7)]=>{{1,3},{2,6},{4,8},{5,7}}
[(1,8),(2,3),(4,7),(5,6)]=>[(1,3),(2,6),(4,7),(5,8)]=>{{1,3},{2,6},{4,7},{5,8}}
[(1,8),(2,4),(3,7),(5,6)]=>[(1,6),(2,4),(3,7),(5,8)]=>{{1,6},{2,4},{3,7},{5,8}}
[(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)]=>{{1,7},{2,4},{3,8},{5,6}}
[(1,5),(2,4),(3,8),(6,7)]=>[(1,7),(2,4),(3,5),(6,8)]=>{{1,7},{2,4},{3,5},{6,8}}
[(1,4),(2,5),(3,8),(6,7)]=>[(1,7),(2,5),(3,4),(6,8)]=>{{1,7},{2,5},{3,4},{6,8}}
[(1,3),(2,5),(4,8),(6,7)]=>[(1,7),(2,3),(4,5),(6,8)]=>{{1,7},{2,3},{4,5},{6,8}}
[(1,2),(3,5),(4,8),(6,7)]=>[(1,2),(3,7),(4,5),(6,8)]=>{{1,2},{3,7},{4,5},{6,8}}
[(1,2),(3,6),(4,8),(5,7)]=>[(1,2),(3,7),(4,8),(5,6)]=>{{1,2},{3,7},{4,8},{5,6}}
[(1,3),(2,6),(4,8),(5,7)]=>[(1,7),(2,3),(4,8),(5,6)]=>{{1,7},{2,3},{4,8},{5,6}}
[(1,4),(2,6),(3,8),(5,7)]=>[(1,7),(2,8),(3,4),(5,6)]=>{{1,7},{2,8},{3,4},{5,6}}
[(1,5),(2,6),(3,8),(4,7)]=>[(1,7),(2,8),(3,6),(4,5)]=>{{1,7},{2,8},{3,6},{4,5}}
[(1,6),(2,5),(3,8),(4,7)]=>[(1,7),(2,8),(3,5),(4,6)]=>{{1,7},{2,8},{3,5},{4,6}}
[(1,7),(2,5),(3,8),(4,6)]=>[(1,6),(2,8),(3,5),(4,7)]=>{{1,6},{2,8},{3,5},{4,7}}
[(1,8),(2,5),(3,7),(4,6)]=>[(1,6),(2,7),(3,5),(4,8)]=>{{1,6},{2,7},{3,5},{4,8}}
[(1,8),(2,6),(3,7),(4,5)]=>[(1,5),(2,7),(3,6),(4,8)]=>{{1,5},{2,7},{3,6},{4,8}}
[(1,7),(2,6),(3,8),(4,5)]=>[(1,5),(2,8),(3,6),(4,7)]=>{{1,5},{2,8},{3,6},{4,7}}
[(1,6),(2,7),(3,8),(4,5)]=>[(1,5),(2,8),(3,7),(4,6)]=>{{1,5},{2,8},{3,7},{4,6}}
[(1,5),(2,7),(3,8),(4,6)]=>[(1,6),(2,8),(3,7),(4,5)]=>{{1,6},{2,8},{3,7},{4,5}}
[(1,4),(2,7),(3,8),(5,6)]=>[(1,6),(2,8),(3,4),(5,7)]=>{{1,6},{2,8},{3,4},{5,7}}
[(1,3),(2,7),(4,8),(5,6)]=>[(1,6),(2,3),(4,8),(5,7)]=>{{1,6},{2,3},{4,8},{5,7}}
[(1,2),(3,7),(4,8),(5,6)]=>[(1,2),(3,6),(4,8),(5,7)]=>{{1,2},{3,6},{4,8},{5,7}}
[(1,2),(3,8),(4,7),(5,6)]=>[(1,2),(3,6),(4,7),(5,8)]=>{{1,2},{3,6},{4,7},{5,8}}
[(1,3),(2,8),(4,7),(5,6)]=>[(1,6),(2,3),(4,7),(5,8)]=>{{1,6},{2,3},{4,7},{5,8}}
[(1,4),(2,8),(3,7),(5,6)]=>[(1,6),(2,7),(3,4),(5,8)]=>{{1,6},{2,7},{3,4},{5,8}}
[(1,5),(2,8),(3,7),(4,6)]=>[(1,6),(2,7),(3,8),(4,5)]=>{{1,6},{2,7},{3,8},{4,5}}
[(1,6),(2,8),(3,7),(4,5)]=>[(1,5),(2,7),(3,8),(4,6)]=>{{1,5},{2,7},{3,8},{4,6}}
[(1,7),(2,8),(3,6),(4,5)]=>[(1,5),(2,6),(3,8),(4,7)]=>{{1,5},{2,6},{3,8},{4,7}}
[(1,8),(2,7),(3,6),(4,5)]=>[(1,5),(2,6),(3,7),(4,8)]=>{{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}}
[(1,3),(2,4),(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}}
[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[(1,3),(2,4),(5,6),(7,8),(9,10)]=>{{1,3},{2,4},{5,6},{7,8},{9,10}}
[(1,5),(2,3),(4,6),(7,8),(9,10)]=>[(1,3),(2,6),(4,5),(7,8),(9,10)]=>{{1,3},{2,6},{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)]=>{{1,3},{2,5},{4,6},{7,8},{9,10}}
[(1,7),(2,3),(4,5),(6,8),(9,10)]=>[(1,3),(2,5),(4,8),(6,7),(9,10)]=>{{1,3},{2,5},{4,8},{6,7},{9,10}}
[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[(1,3),(2,5),(4,7),(6,8),(9,10)]=>{{1,3},{2,5},{4,7},{6,8},{9,10}}
[(1,9),(2,3),(4,5),(6,7),(8,10)]=>[(1,3),(2,5),(4,7),(6,10),(8,9)]=>{{1,3},{2,5},{4,7},{6,10},{8,9}}
[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[(1,3),(2,5),(4,7),(6,9),(8,10)]=>{{1,3},{2,5},{4,7},{6,9},{8,10}}
[(1,10),(2,4),(3,5),(6,7),(8,9)]=>[(1,5),(2,4),(3,7),(6,9),(8,10)]=>{{1,5},{2,4},{3,7},{6,9},{8,10}}
[(1,9),(2,4),(3,5),(6,7),(8,10)]=>[(1,5),(2,4),(3,7),(6,10),(8,9)]=>{{1,5},{2,4},{3,7},{6,10},{8,9}}
[(1,8),(2,4),(3,5),(6,7),(9,10)]=>[(1,5),(2,4),(3,7),(6,8),(9,10)]=>{{1,5},{2,4},{3,7},{6,8},{9,10}}
[(1,7),(2,4),(3,5),(6,8),(9,10)]=>[(1,5),(2,4),(3,8),(6,7),(9,10)]=>{{1,5},{2,4},{3,8},{6,7},{9,10}}
[(1,6),(2,4),(3,5),(7,8),(9,10)]=>[(1,5),(2,4),(3,6),(7,8),(9,10)]=>{{1,5},{2,4},{3,6},{7,8},{9,10}}
[(1,5),(2,4),(3,6),(7,8),(9,10)]=>[(1,6),(2,4),(3,5),(7,8),(9,10)]=>{{1,6},{2,4},{3,5},{7,8},{9,10}}
[(1,4),(2,5),(3,6),(7,8),(9,10)]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>{{1,6},{2,5},{3,4},{7,8},{9,10}}
[(1,3),(2,5),(4,6),(7,8),(9,10)]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>{{1,6},{2,3},{4,5},{7,8},{9,10}}
[(1,2),(3,5),(4,6),(7,8),(9,10)]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>{{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)]=>{{1,2},{3,5},{4,6},{7,8},{9,10}}
[(1,3),(2,6),(4,5),(7,8),(9,10)]=>[(1,5),(2,3),(4,6),(7,8),(9,10)]=>{{1,5},{2,3},{4,6},{7,8},{9,10}}
[(1,4),(2,6),(3,5),(7,8),(9,10)]=>[(1,5),(2,6),(3,4),(7,8),(9,10)]=>{{1,5},{2,6},{3,4},{7,8},{9,10}}
[(1,5),(2,6),(3,4),(7,8),(9,10)]=>[(1,4),(2,6),(3,5),(7,8),(9,10)]=>{{1,4},{2,6},{3,5},{7,8},{9,10}}
[(1,6),(2,5),(3,4),(7,8),(9,10)]=>[(1,4),(2,5),(3,6),(7,8),(9,10)]=>{{1,4},{2,5},{3,6},{7,8},{9,10}}
[(1,7),(2,5),(3,4),(6,8),(9,10)]=>[(1,4),(2,5),(3,8),(6,7),(9,10)]=>{{1,4},{2,5},{3,8},{6,7},{9,10}}
[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[(1,4),(2,5),(3,7),(6,8),(9,10)]=>{{1,4},{2,5},{3,7},{6,8},{9,10}}
[(1,9),(2,5),(3,4),(6,7),(8,10)]=>[(1,4),(2,5),(3,7),(6,10),(8,9)]=>{{1,4},{2,5},{3,7},{6,10},{8,9}}
[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[(1,4),(2,5),(3,7),(6,9),(8,10)]=>{{1,4},{2,5},{3,7},{6,9},{8,10}}
[(1,10),(2,6),(3,4),(5,7),(8,9)]=>[(1,4),(2,7),(3,6),(5,9),(8,10)]=>{{1,4},{2,7},{3,6},{5,9},{8,10}}
[(1,9),(2,6),(3,4),(5,7),(8,10)]=>[(1,4),(2,7),(3,6),(5,10),(8,9)]=>{{1,4},{2,7},{3,6},{5,10},{8,9}}
[(1,8),(2,6),(3,4),(5,7),(9,10)]=>[(1,4),(2,7),(3,6),(5,8),(9,10)]=>{{1,4},{2,7},{3,6},{5,8},{9,10}}
[(1,7),(2,6),(3,4),(5,8),(9,10)]=>[(1,4),(2,8),(3,6),(5,7),(9,10)]=>{{1,4},{2,8},{3,6},{5,7},{9,10}}
[(1,6),(2,7),(3,4),(5,8),(9,10)]=>[(1,4),(2,8),(3,7),(5,6),(9,10)]=>{{1,4},{2,8},{3,7},{5,6},{9,10}}
[(1,5),(2,7),(3,4),(6,8),(9,10)]=>[(1,4),(2,8),(3,5),(6,7),(9,10)]=>{{1,4},{2,8},{3,5},{6,7},{9,10}}
[(1,4),(2,7),(3,5),(6,8),(9,10)]=>[(1,5),(2,8),(3,4),(6,7),(9,10)]=>{{1,5},{2,8},{3,4},{6,7},{9,10}}
[(1,3),(2,7),(4,5),(6,8),(9,10)]=>[(1,5),(2,3),(4,8),(6,7),(9,10)]=>{{1,5},{2,3},{4,8},{6,7},{9,10}}
[(1,2),(3,7),(4,5),(6,8),(9,10)]=>[(1,2),(3,5),(4,8),(6,7),(9,10)]=>{{1,2},{3,5},{4,8},{6,7},{9,10}}
[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[(1,2),(3,5),(4,7),(6,8),(9,10)]=>{{1,2},{3,5},{4,7},{6,8},{9,10}}
[(1,3),(2,8),(4,5),(6,7),(9,10)]=>[(1,5),(2,3),(4,7),(6,8),(9,10)]=>{{1,5},{2,3},{4,7},{6,8},{9,10}}
[(1,4),(2,8),(3,5),(6,7),(9,10)]=>[(1,5),(2,7),(3,4),(6,8),(9,10)]=>{{1,5},{2,7},{3,4},{6,8},{9,10}}
[(1,5),(2,8),(3,4),(6,7),(9,10)]=>[(1,4),(2,7),(3,5),(6,8),(9,10)]=>{{1,4},{2,7},{3,5},{6,8},{9,10}}
[(1,6),(2,8),(3,4),(5,7),(9,10)]=>[(1,4),(2,7),(3,8),(5,6),(9,10)]=>{{1,4},{2,7},{3,8},{5,6},{9,10}}
[(1,7),(2,8),(3,4),(5,6),(9,10)]=>[(1,4),(2,6),(3,8),(5,7),(9,10)]=>{{1,4},{2,6},{3,8},{5,7},{9,10}}
[(1,8),(2,7),(3,4),(5,6),(9,10)]=>[(1,4),(2,6),(3,7),(5,8),(9,10)]=>{{1,4},{2,6},{3,7},{5,8},{9,10}}
[(1,9),(2,7),(3,4),(5,6),(8,10)]=>[(1,4),(2,6),(3,7),(5,10),(8,9)]=>{{1,4},{2,6},{3,7},{5,10},{8,9}}
[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[(1,4),(2,6),(3,7),(5,9),(8,10)]=>{{1,4},{2,6},{3,7},{5,9},{8,10}}
[(1,10),(2,8),(3,4),(5,6),(7,9)]=>[(1,4),(2,6),(3,9),(5,8),(7,10)]=>{{1,4},{2,6},{3,9},{5,8},{7,10}}
[(1,9),(2,8),(3,4),(5,6),(7,10)]=>[(1,4),(2,6),(3,10),(5,8),(7,9)]=>{{1,4},{2,6},{3,10},{5,8},{7,9}}
[(1,8),(2,9),(3,4),(5,6),(7,10)]=>[(1,4),(2,6),(3,10),(5,9),(7,8)]=>{{1,4},{2,6},{3,10},{5,9},{7,8}}
[(1,7),(2,9),(3,4),(5,6),(8,10)]=>[(1,4),(2,6),(3,10),(5,7),(8,9)]=>{{1,4},{2,6},{3,10},{5,7},{8,9}}
[(1,6),(2,9),(3,4),(5,7),(8,10)]=>[(1,4),(2,7),(3,10),(5,6),(8,9)]=>{{1,4},{2,7},{3,10},{5,6},{8,9}}
[(1,5),(2,9),(3,4),(6,7),(8,10)]=>[(1,4),(2,7),(3,5),(6,10),(8,9)]=>{{1,4},{2,7},{3,5},{6,10},{8,9}}
[(1,4),(2,9),(3,5),(6,7),(8,10)]=>[(1,5),(2,7),(3,4),(6,10),(8,9)]=>{{1,5},{2,7},{3,4},{6,10},{8,9}}
[(1,3),(2,9),(4,5),(6,7),(8,10)]=>[(1,5),(2,3),(4,7),(6,10),(8,9)]=>{{1,5},{2,3},{4,7},{6,10},{8,9}}
[(1,2),(3,9),(4,5),(6,7),(8,10)]=>[(1,2),(3,5),(4,7),(6,10),(8,9)]=>{{1,2},{3,5},{4,7},{6,10},{8,9}}
[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[(1,2),(3,5),(4,7),(6,9),(8,10)]=>{{1,2},{3,5},{4,7},{6,9},{8,10}}
[(1,3),(2,10),(4,5),(6,7),(8,9)]=>[(1,5),(2,3),(4,7),(6,9),(8,10)]=>{{1,5},{2,3},{4,7},{6,9},{8,10}}
[(1,4),(2,10),(3,5),(6,7),(8,9)]=>[(1,5),(2,7),(3,4),(6,9),(8,10)]=>{{1,5},{2,7},{3,4},{6,9},{8,10}}
[(1,5),(2,10),(3,4),(6,7),(8,9)]=>[(1,4),(2,7),(3,5),(6,9),(8,10)]=>{{1,4},{2,7},{3,5},{6,9},{8,10}}
[(1,6),(2,10),(3,4),(5,7),(8,9)]=>[(1,4),(2,7),(3,9),(5,6),(8,10)]=>{{1,4},{2,7},{3,9},{5,6},{8,10}}
[(1,7),(2,10),(3,4),(5,6),(8,9)]=>[(1,4),(2,6),(3,9),(5,7),(8,10)]=>{{1,4},{2,6},{3,9},{5,7},{8,10}}
[(1,8),(2,10),(3,4),(5,6),(7,9)]=>[(1,4),(2,6),(3,9),(5,10),(7,8)]=>{{1,4},{2,6},{3,9},{5,10},{7,8}}
[(1,9),(2,10),(3,4),(5,6),(7,8)]=>[(1,4),(2,6),(3,8),(5,10),(7,9)]=>{{1,4},{2,6},{3,8},{5,10},{7,9}}
[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[(1,4),(2,6),(3,8),(5,9),(7,10)]=>{{1,4},{2,6},{3,8},{5,9},{7,10}}
[(1,10),(2,9),(3,5),(4,6),(7,8)]=>[(1,6),(2,5),(3,8),(4,9),(7,10)]=>{{1,6},{2,5},{3,8},{4,9},{7,10}}
[(1,9),(2,10),(3,5),(4,6),(7,8)]=>[(1,6),(2,5),(3,8),(4,10),(7,9)]=>{{1,6},{2,5},{3,8},{4,10},{7,9}}
[(1,8),(2,10),(3,5),(4,6),(7,9)]=>[(1,6),(2,5),(3,9),(4,10),(7,8)]=>{{1,6},{2,5},{3,9},{4,10},{7,8}}
[(1,7),(2,10),(3,5),(4,6),(8,9)]=>[(1,6),(2,5),(3,9),(4,7),(8,10)]=>{{1,6},{2,5},{3,9},{4,7},{8,10}}
[(1,6),(2,10),(3,5),(4,7),(8,9)]=>[(1,7),(2,5),(3,9),(4,6),(8,10)]=>{{1,7},{2,5},{3,9},{4,6},{8,10}}
[(1,5),(2,10),(3,6),(4,7),(8,9)]=>[(1,7),(2,6),(3,9),(4,5),(8,10)]=>{{1,7},{2,6},{3,9},{4,5},{8,10}}
[(1,4),(2,10),(3,6),(5,7),(8,9)]=>[(1,7),(2,6),(3,4),(5,9),(8,10)]=>{{1,7},{2,6},{3,4},{5,9},{8,10}}
[(1,3),(2,10),(4,6),(5,7),(8,9)]=>[(1,7),(2,3),(4,6),(5,9),(8,10)]=>{{1,7},{2,3},{4,6},{5,9},{8,10}}
[(1,2),(3,10),(4,6),(5,7),(8,9)]=>[(1,2),(3,7),(4,6),(5,9),(8,10)]=>{{1,2},{3,7},{4,6},{5,9},{8,10}}
[(1,2),(3,9),(4,6),(5,7),(8,10)]=>[(1,2),(3,7),(4,6),(5,10),(8,9)]=>{{1,2},{3,7},{4,6},{5,10},{8,9}}
[(1,3),(2,9),(4,6),(5,7),(8,10)]=>[(1,7),(2,3),(4,6),(5,10),(8,9)]=>{{1,7},{2,3},{4,6},{5,10},{8,9}}
[(1,4),(2,9),(3,6),(5,7),(8,10)]=>[(1,7),(2,6),(3,4),(5,10),(8,9)]=>{{1,7},{2,6},{3,4},{5,10},{8,9}}
[(1,5),(2,9),(3,6),(4,7),(8,10)]=>[(1,7),(2,6),(3,10),(4,5),(8,9)]=>{{1,7},{2,6},{3,10},{4,5},{8,9}}
[(1,6),(2,9),(3,5),(4,7),(8,10)]=>[(1,7),(2,5),(3,10),(4,6),(8,9)]=>{{1,7},{2,5},{3,10},{4,6},{8,9}}
[(1,7),(2,9),(3,5),(4,6),(8,10)]=>[(1,6),(2,5),(3,10),(4,7),(8,9)]=>{{1,6},{2,5},{3,10},{4,7},{8,9}}
[(1,8),(2,9),(3,5),(4,6),(7,10)]=>[(1,6),(2,5),(3,10),(4,9),(7,8)]=>{{1,6},{2,5},{3,10},{4,9},{7,8}}
[(1,9),(2,8),(3,5),(4,6),(7,10)]=>[(1,6),(2,5),(3,10),(4,8),(7,9)]=>{{1,6},{2,5},{3,10},{4,8},{7,9}}
[(1,10),(2,8),(3,5),(4,6),(7,9)]=>[(1,6),(2,5),(3,9),(4,8),(7,10)]=>{{1,6},{2,5},{3,9},{4,8},{7,10}}
[(1,10),(2,7),(3,5),(4,6),(8,9)]=>[(1,6),(2,5),(3,7),(4,9),(8,10)]=>{{1,6},{2,5},{3,7},{4,9},{8,10}}
[(1,9),(2,7),(3,5),(4,6),(8,10)]=>[(1,6),(2,5),(3,7),(4,10),(8,9)]=>{{1,6},{2,5},{3,7},{4,10},{8,9}}
[(1,8),(2,7),(3,5),(4,6),(9,10)]=>[(1,6),(2,5),(3,7),(4,8),(9,10)]=>{{1,6},{2,5},{3,7},{4,8},{9,10}}
[(1,7),(2,8),(3,5),(4,6),(9,10)]=>[(1,6),(2,5),(3,8),(4,7),(9,10)]=>{{1,6},{2,5},{3,8},{4,7},{9,10}}
[(1,6),(2,8),(3,5),(4,7),(9,10)]=>[(1,7),(2,5),(3,8),(4,6),(9,10)]=>{{1,7},{2,5},{3,8},{4,6},{9,10}}
[(1,5),(2,8),(3,6),(4,7),(9,10)]=>[(1,7),(2,6),(3,8),(4,5),(9,10)]=>{{1,7},{2,6},{3,8},{4,5},{9,10}}
[(1,4),(2,8),(3,6),(5,7),(9,10)]=>[(1,7),(2,6),(3,4),(5,8),(9,10)]=>{{1,7},{2,6},{3,4},{5,8},{9,10}}
[(1,3),(2,8),(4,6),(5,7),(9,10)]=>[(1,7),(2,3),(4,6),(5,8),(9,10)]=>{{1,7},{2,3},{4,6},{5,8},{9,10}}
[(1,2),(3,8),(4,6),(5,7),(9,10)]=>[(1,2),(3,7),(4,6),(5,8),(9,10)]=>{{1,2},{3,7},{4,6},{5,8},{9,10}}
[(1,2),(3,7),(4,6),(5,8),(9,10)]=>[(1,2),(3,8),(4,6),(5,7),(9,10)]=>{{1,2},{3,8},{4,6},{5,7},{9,10}}
[(1,3),(2,7),(4,6),(5,8),(9,10)]=>[(1,8),(2,3),(4,6),(5,7),(9,10)]=>{{1,8},{2,3},{4,6},{5,7},{9,10}}
[(1,4),(2,7),(3,6),(5,8),(9,10)]=>[(1,8),(2,6),(3,4),(5,7),(9,10)]=>{{1,8},{2,6},{3,4},{5,7},{9,10}}
[(1,5),(2,7),(3,6),(4,8),(9,10)]=>[(1,8),(2,6),(3,7),(4,5),(9,10)]=>{{1,8},{2,6},{3,7},{4,5},{9,10}}
[(1,6),(2,7),(3,5),(4,8),(9,10)]=>[(1,8),(2,5),(3,7),(4,6),(9,10)]=>{{1,8},{2,5},{3,7},{4,6},{9,10}}
[(1,7),(2,6),(3,5),(4,8),(9,10)]=>[(1,8),(2,5),(3,6),(4,7),(9,10)]=>{{1,8},{2,5},{3,6},{4,7},{9,10}}
[(1,8),(2,6),(3,5),(4,7),(9,10)]=>[(1,7),(2,5),(3,6),(4,8),(9,10)]=>{{1,7},{2,5},{3,6},{4,8},{9,10}}
[(1,9),(2,6),(3,5),(4,7),(8,10)]=>[(1,7),(2,5),(3,6),(4,10),(8,9)]=>{{1,7},{2,5},{3,6},{4,10},{8,9}}
[(1,10),(2,6),(3,5),(4,7),(8,9)]=>[(1,7),(2,5),(3,6),(4,9),(8,10)]=>{{1,7},{2,5},{3,6},{4,9},{8,10}}
[(1,10),(2,5),(3,6),(4,7),(8,9)]=>[(1,7),(2,6),(3,5),(4,9),(8,10)]=>{{1,7},{2,6},{3,5},{4,9},{8,10}}
[(1,9),(2,5),(3,6),(4,7),(8,10)]=>[(1,7),(2,6),(3,5),(4,10),(8,9)]=>{{1,7},{2,6},{3,5},{4,10},{8,9}}
[(1,8),(2,5),(3,6),(4,7),(9,10)]=>[(1,7),(2,6),(3,5),(4,8),(9,10)]=>{{1,7},{2,6},{3,5},{4,8},{9,10}}
[(1,7),(2,5),(3,6),(4,8),(9,10)]=>[(1,8),(2,6),(3,5),(4,7),(9,10)]=>{{1,8},{2,6},{3,5},{4,7},{9,10}}
[(1,6),(2,5),(3,7),(4,8),(9,10)]=>[(1,8),(2,7),(3,5),(4,6),(9,10)]=>{{1,8},{2,7},{3,5},{4,6},{9,10}}
[(1,5),(2,6),(3,7),(4,8),(9,10)]=>[(1,8),(2,7),(3,6),(4,5),(9,10)]=>{{1,8},{2,7},{3,6},{4,5},{9,10}}
[(1,4),(2,6),(3,7),(5,8),(9,10)]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>{{1,8},{2,7},{3,4},{5,6},{9,10}}
[(1,3),(2,6),(4,7),(5,8),(9,10)]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>{{1,8},{2,3},{4,7},{5,6},{9,10}}
[(1,2),(3,6),(4,7),(5,8),(9,10)]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>{{1,2},{3,8},{4,7},{5,6},{9,10}}
[(1,2),(3,5),(4,7),(6,8),(9,10)]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>{{1,2},{3,8},{4,5},{6,7},{9,10}}
[(1,3),(2,5),(4,7),(6,8),(9,10)]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>{{1,8},{2,3},{4,5},{6,7},{9,10}}
[(1,4),(2,5),(3,7),(6,8),(9,10)]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>{{1,8},{2,5},{3,4},{6,7},{9,10}}
[(1,5),(2,4),(3,7),(6,8),(9,10)]=>[(1,8),(2,4),(3,5),(6,7),(9,10)]=>{{1,8},{2,4},{3,5},{6,7},{9,10}}
[(1,6),(2,4),(3,7),(5,8),(9,10)]=>[(1,8),(2,4),(3,7),(5,6),(9,10)]=>{{1,8},{2,4},{3,7},{5,6},{9,10}}
[(1,7),(2,4),(3,6),(5,8),(9,10)]=>[(1,8),(2,4),(3,6),(5,7),(9,10)]=>{{1,8},{2,4},{3,6},{5,7},{9,10}}
[(1,8),(2,4),(3,6),(5,7),(9,10)]=>[(1,7),(2,4),(3,6),(5,8),(9,10)]=>{{1,7},{2,4},{3,6},{5,8},{9,10}}
[(1,9),(2,4),(3,6),(5,7),(8,10)]=>[(1,7),(2,4),(3,6),(5,10),(8,9)]=>{{1,7},{2,4},{3,6},{5,10},{8,9}}
[(1,10),(2,4),(3,6),(5,7),(8,9)]=>[(1,7),(2,4),(3,6),(5,9),(8,10)]=>{{1,7},{2,4},{3,6},{5,9},{8,10}}
[(1,10),(2,3),(4,6),(5,7),(8,9)]=>[(1,3),(2,7),(4,6),(5,9),(8,10)]=>{{1,3},{2,7},{4,6},{5,9},{8,10}}
[(1,9),(2,3),(4,6),(5,7),(8,10)]=>[(1,3),(2,7),(4,6),(5,10),(8,9)]=>{{1,3},{2,7},{4,6},{5,10},{8,9}}
[(1,8),(2,3),(4,6),(5,7),(9,10)]=>[(1,3),(2,7),(4,6),(5,8),(9,10)]=>{{1,3},{2,7},{4,6},{5,8},{9,10}}
[(1,7),(2,3),(4,6),(5,8),(9,10)]=>[(1,3),(2,8),(4,6),(5,7),(9,10)]=>{{1,3},{2,8},{4,6},{5,7},{9,10}}
[(1,6),(2,3),(4,7),(5,8),(9,10)]=>[(1,3),(2,8),(4,7),(5,6),(9,10)]=>{{1,3},{2,8},{4,7},{5,6},{9,10}}
[(1,5),(2,3),(4,7),(6,8),(9,10)]=>[(1,3),(2,8),(4,5),(6,7),(9,10)]=>{{1,3},{2,8},{4,5},{6,7},{9,10}}
[(1,4),(2,3),(5,7),(6,8),(9,10)]=>[(1,3),(2,4),(5,8),(6,7),(9,10)]=>{{1,3},{2,4},{5,8},{6,7},{9,10}}
[(1,3),(2,4),(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}}
[(1,2),(3,4),(5,7),(6,8),(9,10)]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>{{1,2},{3,4},{5,8},{6,7},{9,10}}
[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[(1,2),(3,4),(5,7),(6,8),(9,10)]=>{{1,2},{3,4},{5,7},{6,8},{9,10}}
[(1,3),(2,4),(5,8),(6,7),(9,10)]=>[(1,4),(2,3),(5,7),(6,8),(9,10)]=>{{1,4},{2,3},{5,7},{6,8},{9,10}}
[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[(1,3),(2,4),(5,7),(6,8),(9,10)]=>{{1,3},{2,4},{5,7},{6,8},{9,10}}
[(1,5),(2,3),(4,8),(6,7),(9,10)]=>[(1,3),(2,7),(4,5),(6,8),(9,10)]=>{{1,3},{2,7},{4,5},{6,8},{9,10}}
[(1,6),(2,3),(4,8),(5,7),(9,10)]=>[(1,3),(2,7),(4,8),(5,6),(9,10)]=>{{1,3},{2,7},{4,8},{5,6},{9,10}}
[(1,7),(2,3),(4,8),(5,6),(9,10)]=>[(1,3),(2,6),(4,8),(5,7),(9,10)]=>{{1,3},{2,6},{4,8},{5,7},{9,10}}
[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[(1,3),(2,6),(4,7),(5,8),(9,10)]=>{{1,3},{2,6},{4,7},{5,8},{9,10}}
[(1,9),(2,3),(4,7),(5,6),(8,10)]=>[(1,3),(2,6),(4,7),(5,10),(8,9)]=>{{1,3},{2,6},{4,7},{5,10},{8,9}}
[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[(1,3),(2,6),(4,7),(5,9),(8,10)]=>{{1,3},{2,6},{4,7},{5,9},{8,10}}
[(1,10),(2,4),(3,7),(5,6),(8,9)]=>[(1,6),(2,4),(3,7),(5,9),(8,10)]=>{{1,6},{2,4},{3,7},{5,9},{8,10}}
[(1,9),(2,4),(3,7),(5,6),(8,10)]=>[(1,6),(2,4),(3,7),(5,10),(8,9)]=>{{1,6},{2,4},{3,7},{5,10},{8,9}}
[(1,8),(2,4),(3,7),(5,6),(9,10)]=>[(1,6),(2,4),(3,7),(5,8),(9,10)]=>{{1,6},{2,4},{3,7},{5,8},{9,10}}
[(1,7),(2,4),(3,8),(5,6),(9,10)]=>[(1,6),(2,4),(3,8),(5,7),(9,10)]=>{{1,6},{2,4},{3,8},{5,7},{9,10}}
[(1,6),(2,4),(3,8),(5,7),(9,10)]=>[(1,7),(2,4),(3,8),(5,6),(9,10)]=>{{1,7},{2,4},{3,8},{5,6},{9,10}}
[(1,5),(2,4),(3,8),(6,7),(9,10)]=>[(1,7),(2,4),(3,5),(6,8),(9,10)]=>{{1,7},{2,4},{3,5},{6,8},{9,10}}
[(1,4),(2,5),(3,8),(6,7),(9,10)]=>[(1,7),(2,5),(3,4),(6,8),(9,10)]=>{{1,7},{2,5},{3,4},{6,8},{9,10}}
[(1,3),(2,5),(4,8),(6,7),(9,10)]=>[(1,7),(2,3),(4,5),(6,8),(9,10)]=>{{1,7},{2,3},{4,5},{6,8},{9,10}}
[(1,2),(3,5),(4,8),(6,7),(9,10)]=>[(1,2),(3,7),(4,5),(6,8),(9,10)]=>{{1,2},{3,7},{4,5},{6,8},{9,10}}
[(1,2),(3,6),(4,8),(5,7),(9,10)]=>[(1,2),(3,7),(4,8),(5,6),(9,10)]=>{{1,2},{3,7},{4,8},{5,6},{9,10}}
[(1,3),(2,6),(4,8),(5,7),(9,10)]=>[(1,7),(2,3),(4,8),(5,6),(9,10)]=>{{1,7},{2,3},{4,8},{5,6},{9,10}}
[(1,4),(2,6),(3,8),(5,7),(9,10)]=>[(1,7),(2,8),(3,4),(5,6),(9,10)]=>{{1,7},{2,8},{3,4},{5,6},{9,10}}
[(1,5),(2,6),(3,8),(4,7),(9,10)]=>[(1,7),(2,8),(3,6),(4,5),(9,10)]=>{{1,7},{2,8},{3,6},{4,5},{9,10}}
[(1,6),(2,5),(3,8),(4,7),(9,10)]=>[(1,7),(2,8),(3,5),(4,6),(9,10)]=>{{1,7},{2,8},{3,5},{4,6},{9,10}}
[(1,7),(2,5),(3,8),(4,6),(9,10)]=>[(1,6),(2,8),(3,5),(4,7),(9,10)]=>{{1,6},{2,8},{3,5},{4,7},{9,10}}
[(1,8),(2,5),(3,7),(4,6),(9,10)]=>[(1,6),(2,7),(3,5),(4,8),(9,10)]=>{{1,6},{2,7},{3,5},{4,8},{9,10}}
[(1,9),(2,5),(3,7),(4,6),(8,10)]=>[(1,6),(2,7),(3,5),(4,10),(8,9)]=>{{1,6},{2,7},{3,5},{4,10},{8,9}}
[(1,10),(2,5),(3,7),(4,6),(8,9)]=>[(1,6),(2,7),(3,5),(4,9),(8,10)]=>{{1,6},{2,7},{3,5},{4,9},{8,10}}
[(1,10),(2,6),(3,7),(4,5),(8,9)]=>[(1,5),(2,7),(3,6),(4,9),(8,10)]=>{{1,5},{2,7},{3,6},{4,9},{8,10}}
[(1,9),(2,6),(3,7),(4,5),(8,10)]=>[(1,5),(2,7),(3,6),(4,10),(8,9)]=>{{1,5},{2,7},{3,6},{4,10},{8,9}}
[(1,8),(2,6),(3,7),(4,5),(9,10)]=>[(1,5),(2,7),(3,6),(4,8),(9,10)]=>{{1,5},{2,7},{3,6},{4,8},{9,10}}
[(1,7),(2,6),(3,8),(4,5),(9,10)]=>[(1,5),(2,8),(3,6),(4,7),(9,10)]=>{{1,5},{2,8},{3,6},{4,7},{9,10}}
[(1,6),(2,7),(3,8),(4,5),(9,10)]=>[(1,5),(2,8),(3,7),(4,6),(9,10)]=>{{1,5},{2,8},{3,7},{4,6},{9,10}}
[(1,5),(2,7),(3,8),(4,6),(9,10)]=>[(1,6),(2,8),(3,7),(4,5),(9,10)]=>{{1,6},{2,8},{3,7},{4,5},{9,10}}
[(1,4),(2,7),(3,8),(5,6),(9,10)]=>[(1,6),(2,8),(3,4),(5,7),(9,10)]=>{{1,6},{2,8},{3,4},{5,7},{9,10}}
[(1,3),(2,7),(4,8),(5,6),(9,10)]=>[(1,6),(2,3),(4,8),(5,7),(9,10)]=>{{1,6},{2,3},{4,8},{5,7},{9,10}}
[(1,2),(3,7),(4,8),(5,6),(9,10)]=>[(1,2),(3,6),(4,8),(5,7),(9,10)]=>{{1,2},{3,6},{4,8},{5,7},{9,10}}
[(1,2),(3,8),(4,7),(5,6),(9,10)]=>[(1,2),(3,6),(4,7),(5,8),(9,10)]=>{{1,2},{3,6},{4,7},{5,8},{9,10}}
[(1,3),(2,8),(4,7),(5,6),(9,10)]=>[(1,6),(2,3),(4,7),(5,8),(9,10)]=>{{1,6},{2,3},{4,7},{5,8},{9,10}}
[(1,4),(2,8),(3,7),(5,6),(9,10)]=>[(1,6),(2,7),(3,4),(5,8),(9,10)]=>{{1,6},{2,7},{3,4},{5,8},{9,10}}
[(1,5),(2,8),(3,7),(4,6),(9,10)]=>[(1,6),(2,7),(3,8),(4,5),(9,10)]=>{{1,6},{2,7},{3,8},{4,5},{9,10}}
[(1,6),(2,8),(3,7),(4,5),(9,10)]=>[(1,5),(2,7),(3,8),(4,6),(9,10)]=>{{1,5},{2,7},{3,8},{4,6},{9,10}}
[(1,7),(2,8),(3,6),(4,5),(9,10)]=>[(1,5),(2,6),(3,8),(4,7),(9,10)]=>{{1,5},{2,6},{3,8},{4,7},{9,10}}
[(1,8),(2,7),(3,6),(4,5),(9,10)]=>[(1,5),(2,6),(3,7),(4,8),(9,10)]=>{{1,5},{2,6},{3,7},{4,8},{9,10}}
[(1,9),(2,7),(3,6),(4,5),(8,10)]=>[(1,5),(2,6),(3,7),(4,10),(8,9)]=>{{1,5},{2,6},{3,7},{4,10},{8,9}}
[(1,10),(2,7),(3,6),(4,5),(8,9)]=>[(1,5),(2,6),(3,7),(4,9),(8,10)]=>{{1,5},{2,6},{3,7},{4,9},{8,10}}
[(1,10),(2,8),(3,6),(4,5),(7,9)]=>[(1,5),(2,6),(3,9),(4,8),(7,10)]=>{{1,5},{2,6},{3,9},{4,8},{7,10}}
[(1,9),(2,8),(3,6),(4,5),(7,10)]=>[(1,5),(2,6),(3,10),(4,8),(7,9)]=>{{1,5},{2,6},{3,10},{4,8},{7,9}}
[(1,8),(2,9),(3,6),(4,5),(7,10)]=>[(1,5),(2,6),(3,10),(4,9),(7,8)]=>{{1,5},{2,6},{3,10},{4,9},{7,8}}
[(1,7),(2,9),(3,6),(4,5),(8,10)]=>[(1,5),(2,6),(3,10),(4,7),(8,9)]=>{{1,5},{2,6},{3,10},{4,7},{8,9}}
[(1,6),(2,9),(3,7),(4,5),(8,10)]=>[(1,5),(2,7),(3,10),(4,6),(8,9)]=>{{1,5},{2,7},{3,10},{4,6},{8,9}}
[(1,5),(2,9),(3,7),(4,6),(8,10)]=>[(1,6),(2,7),(3,10),(4,5),(8,9)]=>{{1,6},{2,7},{3,10},{4,5},{8,9}}
[(1,4),(2,9),(3,7),(5,6),(8,10)]=>[(1,6),(2,7),(3,4),(5,10),(8,9)]=>{{1,6},{2,7},{3,4},{5,10},{8,9}}
[(1,3),(2,9),(4,7),(5,6),(8,10)]=>[(1,6),(2,3),(4,7),(5,10),(8,9)]=>{{1,6},{2,3},{4,7},{5,10},{8,9}}
[(1,2),(3,9),(4,7),(5,6),(8,10)]=>[(1,2),(3,6),(4,7),(5,10),(8,9)]=>{{1,2},{3,6},{4,7},{5,10},{8,9}}
[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[(1,2),(3,6),(4,7),(5,9),(8,10)]=>{{1,2},{3,6},{4,7},{5,9},{8,10}}
[(1,3),(2,10),(4,7),(5,6),(8,9)]=>[(1,6),(2,3),(4,7),(5,9),(8,10)]=>{{1,6},{2,3},{4,7},{5,9},{8,10}}
[(1,4),(2,10),(3,7),(5,6),(8,9)]=>[(1,6),(2,7),(3,4),(5,9),(8,10)]=>{{1,6},{2,7},{3,4},{5,9},{8,10}}
[(1,5),(2,10),(3,7),(4,6),(8,9)]=>[(1,6),(2,7),(3,9),(4,5),(8,10)]=>{{1,6},{2,7},{3,9},{4,5},{8,10}}
[(1,6),(2,10),(3,7),(4,5),(8,9)]=>[(1,5),(2,7),(3,9),(4,6),(8,10)]=>{{1,5},{2,7},{3,9},{4,6},{8,10}}
[(1,7),(2,10),(3,6),(4,5),(8,9)]=>[(1,5),(2,6),(3,9),(4,7),(8,10)]=>{{1,5},{2,6},{3,9},{4,7},{8,10}}
[(1,8),(2,10),(3,6),(4,5),(7,9)]=>[(1,5),(2,6),(3,9),(4,10),(7,8)]=>{{1,5},{2,6},{3,9},{4,10},{7,8}}
[(1,9),(2,10),(3,6),(4,5),(7,8)]=>[(1,5),(2,6),(3,8),(4,10),(7,9)]=>{{1,5},{2,6},{3,8},{4,10},{7,9}}
[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[(1,5),(2,6),(3,8),(4,9),(7,10)]=>{{1,5},{2,6},{3,8},{4,9},{7,10}}
[(1,10),(2,9),(3,7),(4,5),(6,8)]=>[(1,5),(2,8),(3,7),(4,9),(6,10)]=>{{1,5},{2,8},{3,7},{4,9},{6,10}}
[(1,9),(2,10),(3,7),(4,5),(6,8)]=>[(1,5),(2,8),(3,7),(4,10),(6,9)]=>{{1,5},{2,8},{3,7},{4,10},{6,9}}
[(1,8),(2,10),(3,7),(4,5),(6,9)]=>[(1,5),(2,9),(3,7),(4,10),(6,8)]=>{{1,5},{2,9},{3,7},{4,10},{6,8}}
[(1,7),(2,10),(3,8),(4,5),(6,9)]=>[(1,5),(2,9),(3,8),(4,10),(6,7)]=>{{1,5},{2,9},{3,8},{4,10},{6,7}}
[(1,6),(2,10),(3,8),(4,5),(7,9)]=>[(1,5),(2,9),(3,8),(4,6),(7,10)]=>{{1,5},{2,9},{3,8},{4,6},{7,10}}
[(1,5),(2,10),(3,8),(4,6),(7,9)]=>[(1,6),(2,9),(3,8),(4,5),(7,10)]=>{{1,6},{2,9},{3,8},{4,5},{7,10}}
[(1,4),(2,10),(3,8),(5,6),(7,9)]=>[(1,6),(2,9),(3,4),(5,8),(7,10)]=>{{1,6},{2,9},{3,4},{5,8},{7,10}}
[(1,3),(2,10),(4,8),(5,6),(7,9)]=>[(1,6),(2,3),(4,9),(5,8),(7,10)]=>{{1,6},{2,3},{4,9},{5,8},{7,10}}
[(1,2),(3,10),(4,8),(5,6),(7,9)]=>[(1,2),(3,6),(4,9),(5,8),(7,10)]=>{{1,2},{3,6},{4,9},{5,8},{7,10}}
[(1,2),(3,9),(4,8),(5,6),(7,10)]=>[(1,2),(3,6),(4,10),(5,8),(7,9)]=>{{1,2},{3,6},{4,10},{5,8},{7,9}}
[(1,3),(2,9),(4,8),(5,6),(7,10)]=>[(1,6),(2,3),(4,10),(5,8),(7,9)]=>{{1,6},{2,3},{4,10},{5,8},{7,9}}
[(1,4),(2,9),(3,8),(5,6),(7,10)]=>[(1,6),(2,10),(3,4),(5,8),(7,9)]=>{{1,6},{2,10},{3,4},{5,8},{7,9}}
[(1,5),(2,9),(3,8),(4,6),(7,10)]=>[(1,6),(2,10),(3,8),(4,5),(7,9)]=>{{1,6},{2,10},{3,8},{4,5},{7,9}}
[(1,6),(2,9),(3,8),(4,5),(7,10)]=>[(1,5),(2,10),(3,8),(4,6),(7,9)]=>{{1,5},{2,10},{3,8},{4,6},{7,9}}
[(1,7),(2,9),(3,8),(4,5),(6,10)]=>[(1,5),(2,10),(3,8),(4,9),(6,7)]=>{{1,5},{2,10},{3,8},{4,9},{6,7}}
[(1,8),(2,9),(3,7),(4,5),(6,10)]=>[(1,5),(2,10),(3,7),(4,9),(6,8)]=>{{1,5},{2,10},{3,7},{4,9},{6,8}}
[(1,9),(2,8),(3,7),(4,5),(6,10)]=>[(1,5),(2,10),(3,7),(4,8),(6,9)]=>{{1,5},{2,10},{3,7},{4,8},{6,9}}
[(1,10),(2,8),(3,7),(4,5),(6,9)]=>[(1,5),(2,9),(3,7),(4,8),(6,10)]=>{{1,5},{2,9},{3,7},{4,8},{6,10}}
[(1,10),(2,7),(3,8),(4,5),(6,9)]=>[(1,5),(2,9),(3,8),(4,7),(6,10)]=>{{1,5},{2,9},{3,8},{4,7},{6,10}}
[(1,9),(2,7),(3,8),(4,5),(6,10)]=>[(1,5),(2,10),(3,8),(4,7),(6,9)]=>{{1,5},{2,10},{3,8},{4,7},{6,9}}
[(1,8),(2,7),(3,9),(4,5),(6,10)]=>[(1,5),(2,10),(3,9),(4,7),(6,8)]=>{{1,5},{2,10},{3,9},{4,7},{6,8}}
[(1,7),(2,8),(3,9),(4,5),(6,10)]=>[(1,5),(2,10),(3,9),(4,8),(6,7)]=>{{1,5},{2,10},{3,9},{4,8},{6,7}}
[(1,6),(2,8),(3,9),(4,5),(7,10)]=>[(1,5),(2,10),(3,9),(4,6),(7,8)]=>{{1,5},{2,10},{3,9},{4,6},{7,8}}
[(1,5),(2,8),(3,9),(4,6),(7,10)]=>[(1,6),(2,10),(3,9),(4,5),(7,8)]=>{{1,6},{2,10},{3,9},{4,5},{7,8}}
[(1,4),(2,8),(3,9),(5,6),(7,10)]=>[(1,6),(2,10),(3,4),(5,9),(7,8)]=>{{1,6},{2,10},{3,4},{5,9},{7,8}}
[(1,3),(2,8),(4,9),(5,6),(7,10)]=>[(1,6),(2,3),(4,10),(5,9),(7,8)]=>{{1,6},{2,3},{4,10},{5,9},{7,8}}
[(1,2),(3,8),(4,9),(5,6),(7,10)]=>[(1,2),(3,6),(4,10),(5,9),(7,8)]=>{{1,2},{3,6},{4,10},{5,9},{7,8}}
[(1,2),(3,7),(4,9),(5,6),(8,10)]=>[(1,2),(3,6),(4,10),(5,7),(8,9)]=>{{1,2},{3,6},{4,10},{5,7},{8,9}}
[(1,3),(2,7),(4,9),(5,6),(8,10)]=>[(1,6),(2,3),(4,10),(5,7),(8,9)]=>{{1,6},{2,3},{4,10},{5,7},{8,9}}
[(1,4),(2,7),(3,9),(5,6),(8,10)]=>[(1,6),(2,10),(3,4),(5,7),(8,9)]=>{{1,6},{2,10},{3,4},{5,7},{8,9}}
[(1,5),(2,7),(3,9),(4,6),(8,10)]=>[(1,6),(2,10),(3,7),(4,5),(8,9)]=>{{1,6},{2,10},{3,7},{4,5},{8,9}}
[(1,6),(2,7),(3,9),(4,5),(8,10)]=>[(1,5),(2,10),(3,7),(4,6),(8,9)]=>{{1,5},{2,10},{3,7},{4,6},{8,9}}
[(1,7),(2,6),(3,9),(4,5),(8,10)]=>[(1,5),(2,10),(3,6),(4,7),(8,9)]=>{{1,5},{2,10},{3,6},{4,7},{8,9}}
[(1,8),(2,6),(3,9),(4,5),(7,10)]=>[(1,5),(2,10),(3,6),(4,9),(7,8)]=>{{1,5},{2,10},{3,6},{4,9},{7,8}}
[(1,9),(2,6),(3,8),(4,5),(7,10)]=>[(1,5),(2,10),(3,6),(4,8),(7,9)]=>{{1,5},{2,10},{3,6},{4,8},{7,9}}
[(1,10),(2,6),(3,8),(4,5),(7,9)]=>[(1,5),(2,9),(3,6),(4,8),(7,10)]=>{{1,5},{2,9},{3,6},{4,8},{7,10}}
[(1,10),(2,5),(3,8),(4,6),(7,9)]=>[(1,6),(2,9),(3,5),(4,8),(7,10)]=>{{1,6},{2,9},{3,5},{4,8},{7,10}}
[(1,9),(2,5),(3,8),(4,6),(7,10)]=>[(1,6),(2,10),(3,5),(4,8),(7,9)]=>{{1,6},{2,10},{3,5},{4,8},{7,9}}
[(1,8),(2,5),(3,9),(4,6),(7,10)]=>[(1,6),(2,10),(3,5),(4,9),(7,8)]=>{{1,6},{2,10},{3,5},{4,9},{7,8}}
[(1,7),(2,5),(3,9),(4,6),(8,10)]=>[(1,6),(2,10),(3,5),(4,7),(8,9)]=>{{1,6},{2,10},{3,5},{4,7},{8,9}}
[(1,6),(2,5),(3,9),(4,7),(8,10)]=>[(1,7),(2,10),(3,5),(4,6),(8,9)]=>{{1,7},{2,10},{3,5},{4,6},{8,9}}
[(1,5),(2,6),(3,9),(4,7),(8,10)]=>[(1,7),(2,10),(3,6),(4,5),(8,9)]=>{{1,7},{2,10},{3,6},{4,5},{8,9}}
[(1,4),(2,6),(3,9),(5,7),(8,10)]=>[(1,7),(2,10),(3,4),(5,6),(8,9)]=>{{1,7},{2,10},{3,4},{5,6},{8,9}}
[(1,3),(2,6),(4,9),(5,7),(8,10)]=>[(1,7),(2,3),(4,10),(5,6),(8,9)]=>{{1,7},{2,3},{4,10},{5,6},{8,9}}
[(1,2),(3,6),(4,9),(5,7),(8,10)]=>[(1,2),(3,7),(4,10),(5,6),(8,9)]=>{{1,2},{3,7},{4,10},{5,6},{8,9}}
[(1,2),(3,5),(4,9),(6,7),(8,10)]=>[(1,2),(3,7),(4,5),(6,10),(8,9)]=>{{1,2},{3,7},{4,5},{6,10},{8,9}}
[(1,3),(2,5),(4,9),(6,7),(8,10)]=>[(1,7),(2,3),(4,5),(6,10),(8,9)]=>{{1,7},{2,3},{4,5},{6,10},{8,9}}
[(1,4),(2,5),(3,9),(6,7),(8,10)]=>[(1,7),(2,5),(3,4),(6,10),(8,9)]=>{{1,7},{2,5},{3,4},{6,10},{8,9}}
[(1,5),(2,4),(3,9),(6,7),(8,10)]=>[(1,7),(2,4),(3,5),(6,10),(8,9)]=>{{1,7},{2,4},{3,5},{6,10},{8,9}}
[(1,6),(2,4),(3,9),(5,7),(8,10)]=>[(1,7),(2,4),(3,10),(5,6),(8,9)]=>{{1,7},{2,4},{3,10},{5,6},{8,9}}
[(1,7),(2,4),(3,9),(5,6),(8,10)]=>[(1,6),(2,4),(3,10),(5,7),(8,9)]=>{{1,6},{2,4},{3,10},{5,7},{8,9}}
[(1,8),(2,4),(3,9),(5,6),(7,10)]=>[(1,6),(2,4),(3,10),(5,9),(7,8)]=>{{1,6},{2,4},{3,10},{5,9},{7,8}}
[(1,9),(2,4),(3,8),(5,6),(7,10)]=>[(1,6),(2,4),(3,10),(5,8),(7,9)]=>{{1,6},{2,4},{3,10},{5,8},{7,9}}
[(1,10),(2,4),(3,8),(5,6),(7,9)]=>[(1,6),(2,4),(3,9),(5,8),(7,10)]=>{{1,6},{2,4},{3,9},{5,8},{7,10}}
[(1,10),(2,3),(4,8),(5,6),(7,9)]=>[(1,3),(2,6),(4,9),(5,8),(7,10)]=>{{1,3},{2,6},{4,9},{5,8},{7,10}}
[(1,9),(2,3),(4,8),(5,6),(7,10)]=>[(1,3),(2,6),(4,10),(5,8),(7,9)]=>{{1,3},{2,6},{4,10},{5,8},{7,9}}
[(1,8),(2,3),(4,9),(5,6),(7,10)]=>[(1,3),(2,6),(4,10),(5,9),(7,8)]=>{{1,3},{2,6},{4,10},{5,9},{7,8}}
[(1,7),(2,3),(4,9),(5,6),(8,10)]=>[(1,3),(2,6),(4,10),(5,7),(8,9)]=>{{1,3},{2,6},{4,10},{5,7},{8,9}}
[(1,6),(2,3),(4,9),(5,7),(8,10)]=>[(1,3),(2,7),(4,10),(5,6),(8,9)]=>{{1,3},{2,7},{4,10},{5,6},{8,9}}
[(1,5),(2,3),(4,9),(6,7),(8,10)]=>[(1,3),(2,7),(4,5),(6,10),(8,9)]=>{{1,3},{2,7},{4,5},{6,10},{8,9}}
[(1,4),(2,3),(5,9),(6,7),(8,10)]=>[(1,3),(2,4),(5,7),(6,10),(8,9)]=>{{1,3},{2,4},{5,7},{6,10},{8,9}}
[(1,3),(2,4),(5,9),(6,7),(8,10)]=>[(1,4),(2,3),(5,7),(6,10),(8,9)]=>{{1,4},{2,3},{5,7},{6,10},{8,9}}
[(1,2),(3,4),(5,9),(6,7),(8,10)]=>[(1,2),(3,4),(5,7),(6,10),(8,9)]=>{{1,2},{3,4},{5,7},{6,10},{8,9}}
[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[(1,2),(3,4),(5,7),(6,9),(8,10)]=>{{1,2},{3,4},{5,7},{6,9},{8,10}}
[(1,3),(2,4),(5,10),(6,7),(8,9)]=>[(1,4),(2,3),(5,7),(6,9),(8,10)]=>{{1,4},{2,3},{5,7},{6,9},{8,10}}
[(1,4),(2,3),(5,10),(6,7),(8,9)]=>[(1,3),(2,4),(5,7),(6,9),(8,10)]=>{{1,3},{2,4},{5,7},{6,9},{8,10}}
[(1,5),(2,3),(4,10),(6,7),(8,9)]=>[(1,3),(2,7),(4,5),(6,9),(8,10)]=>{{1,3},{2,7},{4,5},{6,9},{8,10}}
[(1,6),(2,3),(4,10),(5,7),(8,9)]=>[(1,3),(2,7),(4,9),(5,6),(8,10)]=>{{1,3},{2,7},{4,9},{5,6},{8,10}}
[(1,7),(2,3),(4,10),(5,6),(8,9)]=>[(1,3),(2,6),(4,9),(5,7),(8,10)]=>{{1,3},{2,6},{4,9},{5,7},{8,10}}
[(1,8),(2,3),(4,10),(5,6),(7,9)]=>[(1,3),(2,6),(4,9),(5,10),(7,8)]=>{{1,3},{2,6},{4,9},{5,10},{7,8}}
[(1,9),(2,3),(4,10),(5,6),(7,8)]=>[(1,3),(2,6),(4,8),(5,10),(7,9)]=>{{1,3},{2,6},{4,8},{5,10},{7,9}}
[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[(1,3),(2,6),(4,8),(5,9),(7,10)]=>{{1,3},{2,6},{4,8},{5,9},{7,10}}
[(1,10),(2,4),(3,9),(5,6),(7,8)]=>[(1,6),(2,4),(3,8),(5,9),(7,10)]=>{{1,6},{2,4},{3,8},{5,9},{7,10}}
[(1,9),(2,4),(3,10),(5,6),(7,8)]=>[(1,6),(2,4),(3,8),(5,10),(7,9)]=>{{1,6},{2,4},{3,8},{5,10},{7,9}}
[(1,8),(2,4),(3,10),(5,6),(7,9)]=>[(1,6),(2,4),(3,9),(5,10),(7,8)]=>{{1,6},{2,4},{3,9},{5,10},{7,8}}
[(1,7),(2,4),(3,10),(5,6),(8,9)]=>[(1,6),(2,4),(3,9),(5,7),(8,10)]=>{{1,6},{2,4},{3,9},{5,7},{8,10}}
[(1,6),(2,4),(3,10),(5,7),(8,9)]=>[(1,7),(2,4),(3,9),(5,6),(8,10)]=>{{1,7},{2,4},{3,9},{5,6},{8,10}}
[(1,5),(2,4),(3,10),(6,7),(8,9)]=>[(1,7),(2,4),(3,5),(6,9),(8,10)]=>{{1,7},{2,4},{3,5},{6,9},{8,10}}
[(1,4),(2,5),(3,10),(6,7),(8,9)]=>[(1,7),(2,5),(3,4),(6,9),(8,10)]=>{{1,7},{2,5},{3,4},{6,9},{8,10}}
[(1,3),(2,5),(4,10),(6,7),(8,9)]=>[(1,7),(2,3),(4,5),(6,9),(8,10)]=>{{1,7},{2,3},{4,5},{6,9},{8,10}}
[(1,2),(3,5),(4,10),(6,7),(8,9)]=>[(1,2),(3,7),(4,5),(6,9),(8,10)]=>{{1,2},{3,7},{4,5},{6,9},{8,10}}
[(1,2),(3,6),(4,10),(5,7),(8,9)]=>[(1,2),(3,7),(4,9),(5,6),(8,10)]=>{{1,2},{3,7},{4,9},{5,6},{8,10}}
[(1,3),(2,6),(4,10),(5,7),(8,9)]=>[(1,7),(2,3),(4,9),(5,6),(8,10)]=>{{1,7},{2,3},{4,9},{5,6},{8,10}}
[(1,4),(2,6),(3,10),(5,7),(8,9)]=>[(1,7),(2,9),(3,4),(5,6),(8,10)]=>{{1,7},{2,9},{3,4},{5,6},{8,10}}
[(1,5),(2,6),(3,10),(4,7),(8,9)]=>[(1,7),(2,9),(3,6),(4,5),(8,10)]=>{{1,7},{2,9},{3,6},{4,5},{8,10}}
[(1,6),(2,5),(3,10),(4,7),(8,9)]=>[(1,7),(2,9),(3,5),(4,6),(8,10)]=>{{1,7},{2,9},{3,5},{4,6},{8,10}}
[(1,7),(2,5),(3,10),(4,6),(8,9)]=>[(1,6),(2,9),(3,5),(4,7),(8,10)]=>{{1,6},{2,9},{3,5},{4,7},{8,10}}
[(1,8),(2,5),(3,10),(4,6),(7,9)]=>[(1,6),(2,9),(3,5),(4,10),(7,8)]=>{{1,6},{2,9},{3,5},{4,10},{7,8}}
[(1,9),(2,5),(3,10),(4,6),(7,8)]=>[(1,6),(2,8),(3,5),(4,10),(7,9)]=>{{1,6},{2,8},{3,5},{4,10},{7,9}}
[(1,10),(2,5),(3,9),(4,6),(7,8)]=>[(1,6),(2,8),(3,5),(4,9),(7,10)]=>{{1,6},{2,8},{3,5},{4,9},{7,10}}
[(1,10),(2,6),(3,9),(4,5),(7,8)]=>[(1,5),(2,8),(3,6),(4,9),(7,10)]=>{{1,5},{2,8},{3,6},{4,9},{7,10}}
[(1,9),(2,6),(3,10),(4,5),(7,8)]=>[(1,5),(2,8),(3,6),(4,10),(7,9)]=>{{1,5},{2,8},{3,6},{4,10},{7,9}}
[(1,8),(2,6),(3,10),(4,5),(7,9)]=>[(1,5),(2,9),(3,6),(4,10),(7,8)]=>{{1,5},{2,9},{3,6},{4,10},{7,8}}
[(1,7),(2,6),(3,10),(4,5),(8,9)]=>[(1,5),(2,9),(3,6),(4,7),(8,10)]=>{{1,5},{2,9},{3,6},{4,7},{8,10}}
[(1,6),(2,7),(3,10),(4,5),(8,9)]=>[(1,5),(2,9),(3,7),(4,6),(8,10)]=>{{1,5},{2,9},{3,7},{4,6},{8,10}}
[(1,5),(2,7),(3,10),(4,6),(8,9)]=>[(1,6),(2,9),(3,7),(4,5),(8,10)]=>{{1,6},{2,9},{3,7},{4,5},{8,10}}
[(1,4),(2,7),(3,10),(5,6),(8,9)]=>[(1,6),(2,9),(3,4),(5,7),(8,10)]=>{{1,6},{2,9},{3,4},{5,7},{8,10}}
[(1,3),(2,7),(4,10),(5,6),(8,9)]=>[(1,6),(2,3),(4,9),(5,7),(8,10)]=>{{1,6},{2,3},{4,9},{5,7},{8,10}}
[(1,2),(3,7),(4,10),(5,6),(8,9)]=>[(1,2),(3,6),(4,9),(5,7),(8,10)]=>{{1,2},{3,6},{4,9},{5,7},{8,10}}
[(1,2),(3,8),(4,10),(5,6),(7,9)]=>[(1,2),(3,6),(4,9),(5,10),(7,8)]=>{{1,2},{3,6},{4,9},{5,10},{7,8}}
[(1,3),(2,8),(4,10),(5,6),(7,9)]=>[(1,6),(2,3),(4,9),(5,10),(7,8)]=>{{1,6},{2,3},{4,9},{5,10},{7,8}}
[(1,4),(2,8),(3,10),(5,6),(7,9)]=>[(1,6),(2,9),(3,4),(5,10),(7,8)]=>{{1,6},{2,9},{3,4},{5,10},{7,8}}
[(1,5),(2,8),(3,10),(4,6),(7,9)]=>[(1,6),(2,9),(3,10),(4,5),(7,8)]=>{{1,6},{2,9},{3,10},{4,5},{7,8}}
[(1,6),(2,8),(3,10),(4,5),(7,9)]=>[(1,5),(2,9),(3,10),(4,6),(7,8)]=>{{1,5},{2,9},{3,10},{4,6},{7,8}}
[(1,7),(2,8),(3,10),(4,5),(6,9)]=>[(1,5),(2,9),(3,10),(4,8),(6,7)]=>{{1,5},{2,9},{3,10},{4,8},{6,7}}
[(1,8),(2,7),(3,10),(4,5),(6,9)]=>[(1,5),(2,9),(3,10),(4,7),(6,8)]=>{{1,5},{2,9},{3,10},{4,7},{6,8}}
[(1,9),(2,7),(3,10),(4,5),(6,8)]=>[(1,5),(2,8),(3,10),(4,7),(6,9)]=>{{1,5},{2,8},{3,10},{4,7},{6,9}}
[(1,10),(2,7),(3,9),(4,5),(6,8)]=>[(1,5),(2,8),(3,9),(4,7),(6,10)]=>{{1,5},{2,8},{3,9},{4,7},{6,10}}
[(1,10),(2,8),(3,9),(4,5),(6,7)]=>[(1,5),(2,7),(3,9),(4,8),(6,10)]=>{{1,5},{2,7},{3,9},{4,8},{6,10}}
[(1,9),(2,8),(3,10),(4,5),(6,7)]=>[(1,5),(2,7),(3,10),(4,8),(6,9)]=>{{1,5},{2,7},{3,10},{4,8},{6,9}}
[(1,8),(2,9),(3,10),(4,5),(6,7)]=>[(1,5),(2,7),(3,10),(4,9),(6,8)]=>{{1,5},{2,7},{3,10},{4,9},{6,8}}
[(1,7),(2,9),(3,10),(4,5),(6,8)]=>[(1,5),(2,8),(3,10),(4,9),(6,7)]=>{{1,5},{2,8},{3,10},{4,9},{6,7}}
[(1,6),(2,9),(3,10),(4,5),(7,8)]=>[(1,5),(2,8),(3,10),(4,6),(7,9)]=>{{1,5},{2,8},{3,10},{4,6},{7,9}}
[(1,5),(2,9),(3,10),(4,6),(7,8)]=>[(1,6),(2,8),(3,10),(4,5),(7,9)]=>{{1,6},{2,8},{3,10},{4,5},{7,9}}
[(1,4),(2,9),(3,10),(5,6),(7,8)]=>[(1,6),(2,8),(3,4),(5,10),(7,9)]=>{{1,6},{2,8},{3,4},{5,10},{7,9}}
[(1,3),(2,9),(4,10),(5,6),(7,8)]=>[(1,6),(2,3),(4,8),(5,10),(7,9)]=>{{1,6},{2,3},{4,8},{5,10},{7,9}}
[(1,2),(3,9),(4,10),(5,6),(7,8)]=>[(1,2),(3,6),(4,8),(5,10),(7,9)]=>{{1,2},{3,6},{4,8},{5,10},{7,9}}
[(1,2),(3,10),(4,9),(5,6),(7,8)]=>[(1,2),(3,6),(4,8),(5,9),(7,10)]=>{{1,2},{3,6},{4,8},{5,9},{7,10}}
[(1,3),(2,10),(4,9),(5,6),(7,8)]=>[(1,6),(2,3),(4,8),(5,9),(7,10)]=>{{1,6},{2,3},{4,8},{5,9},{7,10}}
[(1,4),(2,10),(3,9),(5,6),(7,8)]=>[(1,6),(2,8),(3,4),(5,9),(7,10)]=>{{1,6},{2,8},{3,4},{5,9},{7,10}}
[(1,5),(2,10),(3,9),(4,6),(7,8)]=>[(1,6),(2,8),(3,9),(4,5),(7,10)]=>{{1,6},{2,8},{3,9},{4,5},{7,10}}
[(1,6),(2,10),(3,9),(4,5),(7,8)]=>[(1,5),(2,8),(3,9),(4,6),(7,10)]=>{{1,5},{2,8},{3,9},{4,6},{7,10}}
[(1,7),(2,10),(3,9),(4,5),(6,8)]=>[(1,5),(2,8),(3,9),(4,10),(6,7)]=>{{1,5},{2,8},{3,9},{4,10},{6,7}}
[(1,8),(2,10),(3,9),(4,5),(6,7)]=>[(1,5),(2,7),(3,9),(4,10),(6,8)]=>{{1,5},{2,7},{3,9},{4,10},{6,8}}
[(1,9),(2,10),(3,8),(4,5),(6,7)]=>[(1,5),(2,7),(3,8),(4,10),(6,9)]=>{{1,5},{2,7},{3,8},{4,10},{6,9}}
[(1,10),(2,9),(3,8),(4,5),(6,7)]=>[(1,5),(2,7),(3,8),(4,9),(6,10)]=>{{1,5},{2,7},{3,8},{4,9},{6,10}}
[(1,10),(2,9),(3,8),(4,6),(5,7)]=>[(1,7),(2,6),(3,8),(4,9),(5,10)]=>{{1,7},{2,6},{3,8},{4,9},{5,10}}
[(1,9),(2,10),(3,8),(4,6),(5,7)]=>[(1,7),(2,6),(3,8),(4,10),(5,9)]=>{{1,7},{2,6},{3,8},{4,10},{5,9}}
[(1,8),(2,10),(3,9),(4,6),(5,7)]=>[(1,7),(2,6),(3,9),(4,10),(5,8)]=>{{1,7},{2,6},{3,9},{4,10},{5,8}}
[(1,7),(2,10),(3,9),(4,6),(5,8)]=>[(1,8),(2,6),(3,9),(4,10),(5,7)]=>{{1,8},{2,6},{3,9},{4,10},{5,7}}
[(1,6),(2,10),(3,9),(4,7),(5,8)]=>[(1,8),(2,7),(3,9),(4,10),(5,6)]=>{{1,8},{2,7},{3,9},{4,10},{5,6}}
[(1,5),(2,10),(3,9),(4,7),(6,8)]=>[(1,8),(2,7),(3,9),(4,5),(6,10)]=>{{1,8},{2,7},{3,9},{4,5},{6,10}}
[(1,4),(2,10),(3,9),(5,7),(6,8)]=>[(1,8),(2,7),(3,4),(5,9),(6,10)]=>{{1,8},{2,7},{3,4},{5,9},{6,10}}
[(1,3),(2,10),(4,9),(5,7),(6,8)]=>[(1,8),(2,3),(4,7),(5,9),(6,10)]=>{{1,8},{2,3},{4,7},{5,9},{6,10}}
[(1,2),(3,10),(4,9),(5,7),(6,8)]=>[(1,2),(3,8),(4,7),(5,9),(6,10)]=>{{1,2},{3,8},{4,7},{5,9},{6,10}}
[(1,2),(3,9),(4,10),(5,7),(6,8)]=>[(1,2),(3,8),(4,7),(5,10),(6,9)]=>{{1,2},{3,8},{4,7},{5,10},{6,9}}
[(1,3),(2,9),(4,10),(5,7),(6,8)]=>[(1,8),(2,3),(4,7),(5,10),(6,9)]=>{{1,8},{2,3},{4,7},{5,10},{6,9}}
[(1,4),(2,9),(3,10),(5,7),(6,8)]=>[(1,8),(2,7),(3,4),(5,10),(6,9)]=>{{1,8},{2,7},{3,4},{5,10},{6,9}}
[(1,5),(2,9),(3,10),(4,7),(6,8)]=>[(1,8),(2,7),(3,10),(4,5),(6,9)]=>{{1,8},{2,7},{3,10},{4,5},{6,9}}
[(1,6),(2,9),(3,10),(4,7),(5,8)]=>[(1,8),(2,7),(3,10),(4,9),(5,6)]=>{{1,8},{2,7},{3,10},{4,9},{5,6}}
[(1,7),(2,9),(3,10),(4,6),(5,8)]=>[(1,8),(2,6),(3,10),(4,9),(5,7)]=>{{1,8},{2,6},{3,10},{4,9},{5,7}}
[(1,8),(2,9),(3,10),(4,6),(5,7)]=>[(1,7),(2,6),(3,10),(4,9),(5,8)]=>{{1,7},{2,6},{3,10},{4,9},{5,8}}
[(1,9),(2,8),(3,10),(4,6),(5,7)]=>[(1,7),(2,6),(3,10),(4,8),(5,9)]=>{{1,7},{2,6},{3,10},{4,8},{5,9}}
[(1,10),(2,8),(3,9),(4,6),(5,7)]=>[(1,7),(2,6),(3,9),(4,8),(5,10)]=>{{1,7},{2,6},{3,9},{4,8},{5,10}}
[(1,10),(2,7),(3,9),(4,6),(5,8)]=>[(1,8),(2,6),(3,9),(4,7),(5,10)]=>{{1,8},{2,6},{3,9},{4,7},{5,10}}
[(1,9),(2,7),(3,10),(4,6),(5,8)]=>[(1,8),(2,6),(3,10),(4,7),(5,9)]=>{{1,8},{2,6},{3,10},{4,7},{5,9}}
[(1,8),(2,7),(3,10),(4,6),(5,9)]=>[(1,9),(2,6),(3,10),(4,7),(5,8)]=>{{1,9},{2,6},{3,10},{4,7},{5,8}}
[(1,7),(2,8),(3,10),(4,6),(5,9)]=>[(1,9),(2,6),(3,10),(4,8),(5,7)]=>{{1,9},{2,6},{3,10},{4,8},{5,7}}
[(1,6),(2,8),(3,10),(4,7),(5,9)]=>[(1,9),(2,7),(3,10),(4,8),(5,6)]=>{{1,9},{2,7},{3,10},{4,8},{5,6}}
[(1,5),(2,8),(3,10),(4,7),(6,9)]=>[(1,9),(2,7),(3,10),(4,5),(6,8)]=>{{1,9},{2,7},{3,10},{4,5},{6,8}}
[(1,4),(2,8),(3,10),(5,7),(6,9)]=>[(1,9),(2,7),(3,4),(5,10),(6,8)]=>{{1,9},{2,7},{3,4},{5,10},{6,8}}
[(1,3),(2,8),(4,10),(5,7),(6,9)]=>[(1,9),(2,3),(4,7),(5,10),(6,8)]=>{{1,9},{2,3},{4,7},{5,10},{6,8}}
[(1,2),(3,8),(4,10),(5,7),(6,9)]=>[(1,2),(3,9),(4,7),(5,10),(6,8)]=>{{1,2},{3,9},{4,7},{5,10},{6,8}}
[(1,2),(3,7),(4,10),(5,8),(6,9)]=>[(1,2),(3,9),(4,8),(5,10),(6,7)]=>{{1,2},{3,9},{4,8},{5,10},{6,7}}
[(1,3),(2,7),(4,10),(5,8),(6,9)]=>[(1,9),(2,3),(4,8),(5,10),(6,7)]=>{{1,9},{2,3},{4,8},{5,10},{6,7}}
[(1,4),(2,7),(3,10),(5,8),(6,9)]=>[(1,9),(2,8),(3,4),(5,10),(6,7)]=>{{1,9},{2,8},{3,4},{5,10},{6,7}}
[(1,5),(2,7),(3,10),(4,8),(6,9)]=>[(1,9),(2,8),(3,10),(4,5),(6,7)]=>{{1,9},{2,8},{3,10},{4,5},{6,7}}
[(1,6),(2,7),(3,10),(4,8),(5,9)]=>[(1,9),(2,8),(3,10),(4,7),(5,6)]=>{{1,9},{2,8},{3,10},{4,7},{5,6}}
[(1,7),(2,6),(3,10),(4,8),(5,9)]=>[(1,9),(2,8),(3,10),(4,6),(5,7)]=>{{1,9},{2,8},{3,10},{4,6},{5,7}}
[(1,8),(2,6),(3,10),(4,7),(5,9)]=>[(1,9),(2,7),(3,10),(4,6),(5,8)]=>{{1,9},{2,7},{3,10},{4,6},{5,8}}
[(1,9),(2,6),(3,10),(4,7),(5,8)]=>[(1,8),(2,7),(3,10),(4,6),(5,9)]=>{{1,8},{2,7},{3,10},{4,6},{5,9}}
[(1,10),(2,6),(3,9),(4,7),(5,8)]=>[(1,8),(2,7),(3,9),(4,6),(5,10)]=>{{1,8},{2,7},{3,9},{4,6},{5,10}}
[(1,10),(2,5),(3,9),(4,7),(6,8)]=>[(1,8),(2,7),(3,5),(4,9),(6,10)]=>{{1,8},{2,7},{3,5},{4,9},{6,10}}
[(1,9),(2,5),(3,10),(4,7),(6,8)]=>[(1,8),(2,7),(3,5),(4,10),(6,9)]=>{{1,8},{2,7},{3,5},{4,10},{6,9}}
[(1,8),(2,5),(3,10),(4,7),(6,9)]=>[(1,9),(2,7),(3,5),(4,10),(6,8)]=>{{1,9},{2,7},{3,5},{4,10},{6,8}}
[(1,7),(2,5),(3,10),(4,8),(6,9)]=>[(1,9),(2,8),(3,5),(4,10),(6,7)]=>{{1,9},{2,8},{3,5},{4,10},{6,7}}
[(1,6),(2,5),(3,10),(4,8),(7,9)]=>[(1,9),(2,8),(3,5),(4,6),(7,10)]=>{{1,9},{2,8},{3,5},{4,6},{7,10}}
[(1,5),(2,6),(3,10),(4,8),(7,9)]=>[(1,9),(2,8),(3,6),(4,5),(7,10)]=>{{1,9},{2,8},{3,6},{4,5},{7,10}}
[(1,4),(2,6),(3,10),(5,8),(7,9)]=>[(1,9),(2,8),(3,4),(5,6),(7,10)]=>{{1,9},{2,8},{3,4},{5,6},{7,10}}
[(1,3),(2,6),(4,10),(5,8),(7,9)]=>[(1,9),(2,3),(4,8),(5,6),(7,10)]=>{{1,9},{2,3},{4,8},{5,6},{7,10}}
[(1,2),(3,6),(4,10),(5,8),(7,9)]=>[(1,2),(3,9),(4,8),(5,6),(7,10)]=>{{1,2},{3,9},{4,8},{5,6},{7,10}}
[(1,2),(3,5),(4,10),(6,8),(7,9)]=>[(1,2),(3,9),(4,5),(6,8),(7,10)]=>{{1,2},{3,9},{4,5},{6,8},{7,10}}
[(1,3),(2,5),(4,10),(6,8),(7,9)]=>[(1,9),(2,3),(4,5),(6,8),(7,10)]=>{{1,9},{2,3},{4,5},{6,8},{7,10}}
[(1,4),(2,5),(3,10),(6,8),(7,9)]=>[(1,9),(2,5),(3,4),(6,8),(7,10)]=>{{1,9},{2,5},{3,4},{6,8},{7,10}}
[(1,5),(2,4),(3,10),(6,8),(7,9)]=>[(1,9),(2,4),(3,5),(6,8),(7,10)]=>{{1,9},{2,4},{3,5},{6,8},{7,10}}
[(1,6),(2,4),(3,10),(5,8),(7,9)]=>[(1,9),(2,4),(3,8),(5,6),(7,10)]=>{{1,9},{2,4},{3,8},{5,6},{7,10}}
[(1,7),(2,4),(3,10),(5,8),(6,9)]=>[(1,9),(2,4),(3,8),(5,10),(6,7)]=>{{1,9},{2,4},{3,8},{5,10},{6,7}}
[(1,8),(2,4),(3,10),(5,7),(6,9)]=>[(1,9),(2,4),(3,7),(5,10),(6,8)]=>{{1,9},{2,4},{3,7},{5,10},{6,8}}
[(1,9),(2,4),(3,10),(5,7),(6,8)]=>[(1,8),(2,4),(3,7),(5,10),(6,9)]=>{{1,8},{2,4},{3,7},{5,10},{6,9}}
[(1,10),(2,4),(3,9),(5,7),(6,8)]=>[(1,8),(2,4),(3,7),(5,9),(6,10)]=>{{1,8},{2,4},{3,7},{5,9},{6,10}}
[(1,10),(2,3),(4,9),(5,7),(6,8)]=>[(1,3),(2,8),(4,7),(5,9),(6,10)]=>{{1,3},{2,8},{4,7},{5,9},{6,10}}
[(1,9),(2,3),(4,10),(5,7),(6,8)]=>[(1,3),(2,8),(4,7),(5,10),(6,9)]=>{{1,3},{2,8},{4,7},{5,10},{6,9}}
[(1,8),(2,3),(4,10),(5,7),(6,9)]=>[(1,3),(2,9),(4,7),(5,10),(6,8)]=>{{1,3},{2,9},{4,7},{5,10},{6,8}}
[(1,7),(2,3),(4,10),(5,8),(6,9)]=>[(1,3),(2,9),(4,8),(5,10),(6,7)]=>{{1,3},{2,9},{4,8},{5,10},{6,7}}
[(1,6),(2,3),(4,10),(5,8),(7,9)]=>[(1,3),(2,9),(4,8),(5,6),(7,10)]=>{{1,3},{2,9},{4,8},{5,6},{7,10}}
[(1,5),(2,3),(4,10),(6,8),(7,9)]=>[(1,3),(2,9),(4,5),(6,8),(7,10)]=>{{1,3},{2,9},{4,5},{6,8},{7,10}}
[(1,4),(2,3),(5,10),(6,8),(7,9)]=>[(1,3),(2,4),(5,9),(6,8),(7,10)]=>{{1,3},{2,4},{5,9},{6,8},{7,10}}
[(1,3),(2,4),(5,10),(6,8),(7,9)]=>[(1,4),(2,3),(5,9),(6,8),(7,10)]=>{{1,4},{2,3},{5,9},{6,8},{7,10}}
[(1,2),(3,4),(5,10),(6,8),(7,9)]=>[(1,2),(3,4),(5,9),(6,8),(7,10)]=>{{1,2},{3,4},{5,9},{6,8},{7,10}}
[(1,2),(3,4),(5,9),(6,8),(7,10)]=>[(1,2),(3,4),(5,10),(6,8),(7,9)]=>{{1,2},{3,4},{5,10},{6,8},{7,9}}
[(1,3),(2,4),(5,9),(6,8),(7,10)]=>[(1,4),(2,3),(5,10),(6,8),(7,9)]=>{{1,4},{2,3},{5,10},{6,8},{7,9}}
[(1,4),(2,3),(5,9),(6,8),(7,10)]=>[(1,3),(2,4),(5,10),(6,8),(7,9)]=>{{1,3},{2,4},{5,10},{6,8},{7,9}}
[(1,5),(2,3),(4,9),(6,8),(7,10)]=>[(1,3),(2,10),(4,5),(6,8),(7,9)]=>{{1,3},{2,10},{4,5},{6,8},{7,9}}
[(1,6),(2,3),(4,9),(5,8),(7,10)]=>[(1,3),(2,10),(4,8),(5,6),(7,9)]=>{{1,3},{2,10},{4,8},{5,6},{7,9}}
[(1,7),(2,3),(4,9),(5,8),(6,10)]=>[(1,3),(2,10),(4,8),(5,9),(6,7)]=>{{1,3},{2,10},{4,8},{5,9},{6,7}}
[(1,8),(2,3),(4,9),(5,7),(6,10)]=>[(1,3),(2,10),(4,7),(5,9),(6,8)]=>{{1,3},{2,10},{4,7},{5,9},{6,8}}
[(1,9),(2,3),(4,8),(5,7),(6,10)]=>[(1,3),(2,10),(4,7),(5,8),(6,9)]=>{{1,3},{2,10},{4,7},{5,8},{6,9}}
[(1,10),(2,3),(4,8),(5,7),(6,9)]=>[(1,3),(2,9),(4,7),(5,8),(6,10)]=>{{1,3},{2,9},{4,7},{5,8},{6,10}}
[(1,10),(2,4),(3,8),(5,7),(6,9)]=>[(1,9),(2,4),(3,7),(5,8),(6,10)]=>{{1,9},{2,4},{3,7},{5,8},{6,10}}
[(1,9),(2,4),(3,8),(5,7),(6,10)]=>[(1,10),(2,4),(3,7),(5,8),(6,9)]=>{{1,10},{2,4},{3,7},{5,8},{6,9}}
[(1,8),(2,4),(3,9),(5,7),(6,10)]=>[(1,10),(2,4),(3,7),(5,9),(6,8)]=>{{1,10},{2,4},{3,7},{5,9},{6,8}}
[(1,7),(2,4),(3,9),(5,8),(6,10)]=>[(1,10),(2,4),(3,8),(5,9),(6,7)]=>{{1,10},{2,4},{3,8},{5,9},{6,7}}
[(1,6),(2,4),(3,9),(5,8),(7,10)]=>[(1,10),(2,4),(3,8),(5,6),(7,9)]=>{{1,10},{2,4},{3,8},{5,6},{7,9}}
[(1,5),(2,4),(3,9),(6,8),(7,10)]=>[(1,10),(2,4),(3,5),(6,8),(7,9)]=>{{1,10},{2,4},{3,5},{6,8},{7,9}}
[(1,4),(2,5),(3,9),(6,8),(7,10)]=>[(1,10),(2,5),(3,4),(6,8),(7,9)]=>{{1,10},{2,5},{3,4},{6,8},{7,9}}
[(1,3),(2,5),(4,9),(6,8),(7,10)]=>[(1,10),(2,3),(4,5),(6,8),(7,9)]=>{{1,10},{2,3},{4,5},{6,8},{7,9}}
[(1,2),(3,5),(4,9),(6,8),(7,10)]=>[(1,2),(3,10),(4,5),(6,8),(7,9)]=>{{1,2},{3,10},{4,5},{6,8},{7,9}}
[(1,2),(3,6),(4,9),(5,8),(7,10)]=>[(1,2),(3,10),(4,8),(5,6),(7,9)]=>{{1,2},{3,10},{4,8},{5,6},{7,9}}
[(1,3),(2,6),(4,9),(5,8),(7,10)]=>[(1,10),(2,3),(4,8),(5,6),(7,9)]=>{{1,10},{2,3},{4,8},{5,6},{7,9}}
[(1,4),(2,6),(3,9),(5,8),(7,10)]=>[(1,10),(2,8),(3,4),(5,6),(7,9)]=>{{1,10},{2,8},{3,4},{5,6},{7,9}}
[(1,5),(2,6),(3,9),(4,8),(7,10)]=>[(1,10),(2,8),(3,6),(4,5),(7,9)]=>{{1,10},{2,8},{3,6},{4,5},{7,9}}
[(1,6),(2,5),(3,9),(4,8),(7,10)]=>[(1,10),(2,8),(3,5),(4,6),(7,9)]=>{{1,10},{2,8},{3,5},{4,6},{7,9}}
[(1,7),(2,5),(3,9),(4,8),(6,10)]=>[(1,10),(2,8),(3,5),(4,9),(6,7)]=>{{1,10},{2,8},{3,5},{4,9},{6,7}}
[(1,8),(2,5),(3,9),(4,7),(6,10)]=>[(1,10),(2,7),(3,5),(4,9),(6,8)]=>{{1,10},{2,7},{3,5},{4,9},{6,8}}
[(1,9),(2,5),(3,8),(4,7),(6,10)]=>[(1,10),(2,7),(3,5),(4,8),(6,9)]=>{{1,10},{2,7},{3,5},{4,8},{6,9}}
[(1,10),(2,5),(3,8),(4,7),(6,9)]=>[(1,9),(2,7),(3,5),(4,8),(6,10)]=>{{1,9},{2,7},{3,5},{4,8},{6,10}}
[(1,10),(2,6),(3,8),(4,7),(5,9)]=>[(1,9),(2,7),(3,8),(4,6),(5,10)]=>{{1,9},{2,7},{3,8},{4,6},{5,10}}
[(1,9),(2,6),(3,8),(4,7),(5,10)]=>[(1,10),(2,7),(3,8),(4,6),(5,9)]=>{{1,10},{2,7},{3,8},{4,6},{5,9}}
[(1,8),(2,6),(3,9),(4,7),(5,10)]=>[(1,10),(2,7),(3,9),(4,6),(5,8)]=>{{1,10},{2,7},{3,9},{4,6},{5,8}}
[(1,7),(2,6),(3,9),(4,8),(5,10)]=>[(1,10),(2,8),(3,9),(4,6),(5,7)]=>{{1,10},{2,8},{3,9},{4,6},{5,7}}
[(1,6),(2,7),(3,9),(4,8),(5,10)]=>[(1,10),(2,8),(3,9),(4,7),(5,6)]=>{{1,10},{2,8},{3,9},{4,7},{5,6}}
[(1,5),(2,7),(3,9),(4,8),(6,10)]=>[(1,10),(2,8),(3,9),(4,5),(6,7)]=>{{1,10},{2,8},{3,9},{4,5},{6,7}}
[(1,4),(2,7),(3,9),(5,8),(6,10)]=>[(1,10),(2,8),(3,4),(5,9),(6,7)]=>{{1,10},{2,8},{3,4},{5,9},{6,7}}
[(1,3),(2,7),(4,9),(5,8),(6,10)]=>[(1,10),(2,3),(4,8),(5,9),(6,7)]=>{{1,10},{2,3},{4,8},{5,9},{6,7}}
[(1,2),(3,7),(4,9),(5,8),(6,10)]=>[(1,2),(3,10),(4,8),(5,9),(6,7)]=>{{1,2},{3,10},{4,8},{5,9},{6,7}}
[(1,2),(3,8),(4,9),(5,7),(6,10)]=>[(1,2),(3,10),(4,7),(5,9),(6,8)]=>{{1,2},{3,10},{4,7},{5,9},{6,8}}
[(1,3),(2,8),(4,9),(5,7),(6,10)]=>[(1,10),(2,3),(4,7),(5,9),(6,8)]=>{{1,10},{2,3},{4,7},{5,9},{6,8}}
[(1,4),(2,8),(3,9),(5,7),(6,10)]=>[(1,10),(2,7),(3,4),(5,9),(6,8)]=>{{1,10},{2,7},{3,4},{5,9},{6,8}}
[(1,5),(2,8),(3,9),(4,7),(6,10)]=>[(1,10),(2,7),(3,9),(4,5),(6,8)]=>{{1,10},{2,7},{3,9},{4,5},{6,8}}
[(1,6),(2,8),(3,9),(4,7),(5,10)]=>[(1,10),(2,7),(3,9),(4,8),(5,6)]=>{{1,10},{2,7},{3,9},{4,8},{5,6}}
[(1,7),(2,8),(3,9),(4,6),(5,10)]=>[(1,10),(2,6),(3,9),(4,8),(5,7)]=>{{1,10},{2,6},{3,9},{4,8},{5,7}}
[(1,8),(2,7),(3,9),(4,6),(5,10)]=>[(1,10),(2,6),(3,9),(4,7),(5,8)]=>{{1,10},{2,6},{3,9},{4,7},{5,8}}
[(1,9),(2,7),(3,8),(4,6),(5,10)]=>[(1,10),(2,6),(3,8),(4,7),(5,9)]=>{{1,10},{2,6},{3,8},{4,7},{5,9}}
[(1,10),(2,7),(3,8),(4,6),(5,9)]=>[(1,9),(2,6),(3,8),(4,7),(5,10)]=>{{1,9},{2,6},{3,8},{4,7},{5,10}}
[(1,10),(2,8),(3,7),(4,6),(5,9)]=>[(1,9),(2,6),(3,7),(4,8),(5,10)]=>{{1,9},{2,6},{3,7},{4,8},{5,10}}
[(1,9),(2,8),(3,7),(4,6),(5,10)]=>[(1,10),(2,6),(3,7),(4,8),(5,9)]=>{{1,10},{2,6},{3,7},{4,8},{5,9}}
[(1,8),(2,9),(3,7),(4,6),(5,10)]=>[(1,10),(2,6),(3,7),(4,9),(5,8)]=>{{1,10},{2,6},{3,7},{4,9},{5,8}}
[(1,7),(2,9),(3,8),(4,6),(5,10)]=>[(1,10),(2,6),(3,8),(4,9),(5,7)]=>{{1,10},{2,6},{3,8},{4,9},{5,7}}
[(1,6),(2,9),(3,8),(4,7),(5,10)]=>[(1,10),(2,7),(3,8),(4,9),(5,6)]=>{{1,10},{2,7},{3,8},{4,9},{5,6}}
[(1,5),(2,9),(3,8),(4,7),(6,10)]=>[(1,10),(2,7),(3,8),(4,5),(6,9)]=>{{1,10},{2,7},{3,8},{4,5},{6,9}}
[(1,4),(2,9),(3,8),(5,7),(6,10)]=>[(1,10),(2,7),(3,4),(5,8),(6,9)]=>{{1,10},{2,7},{3,4},{5,8},{6,9}}
[(1,3),(2,9),(4,8),(5,7),(6,10)]=>[(1,10),(2,3),(4,7),(5,8),(6,9)]=>{{1,10},{2,3},{4,7},{5,8},{6,9}}
[(1,2),(3,9),(4,8),(5,7),(6,10)]=>[(1,2),(3,10),(4,7),(5,8),(6,9)]=>{{1,2},{3,10},{4,7},{5,8},{6,9}}
[(1,2),(3,10),(4,8),(5,7),(6,9)]=>[(1,2),(3,9),(4,7),(5,8),(6,10)]=>{{1,2},{3,9},{4,7},{5,8},{6,10}}
[(1,3),(2,10),(4,8),(5,7),(6,9)]=>[(1,9),(2,3),(4,7),(5,8),(6,10)]=>{{1,9},{2,3},{4,7},{5,8},{6,10}}
[(1,4),(2,10),(3,8),(5,7),(6,9)]=>[(1,9),(2,7),(3,4),(5,8),(6,10)]=>{{1,9},{2,7},{3,4},{5,8},{6,10}}
[(1,5),(2,10),(3,8),(4,7),(6,9)]=>[(1,9),(2,7),(3,8),(4,5),(6,10)]=>{{1,9},{2,7},{3,8},{4,5},{6,10}}
[(1,6),(2,10),(3,8),(4,7),(5,9)]=>[(1,9),(2,7),(3,8),(4,10),(5,6)]=>{{1,9},{2,7},{3,8},{4,10},{5,6}}
[(1,7),(2,10),(3,8),(4,6),(5,9)]=>[(1,9),(2,6),(3,8),(4,10),(5,7)]=>{{1,9},{2,6},{3,8},{4,10},{5,7}}
[(1,8),(2,10),(3,7),(4,6),(5,9)]=>[(1,9),(2,6),(3,7),(4,10),(5,8)]=>{{1,9},{2,6},{3,7},{4,10},{5,8}}
[(1,9),(2,10),(3,7),(4,6),(5,8)]=>[(1,8),(2,6),(3,7),(4,10),(5,9)]=>{{1,8},{2,6},{3,7},{4,10},{5,9}}
[(1,10),(2,9),(3,7),(4,6),(5,8)]=>[(1,8),(2,6),(3,7),(4,9),(5,10)]=>{{1,8},{2,6},{3,7},{4,9},{5,10}}
[(1,10),(2,9),(3,6),(4,7),(5,8)]=>[(1,8),(2,7),(3,6),(4,9),(5,10)]=>{{1,8},{2,7},{3,6},{4,9},{5,10}}
[(1,9),(2,10),(3,6),(4,7),(5,8)]=>[(1,8),(2,7),(3,6),(4,10),(5,9)]=>{{1,8},{2,7},{3,6},{4,10},{5,9}}
[(1,8),(2,10),(3,6),(4,7),(5,9)]=>[(1,9),(2,7),(3,6),(4,10),(5,8)]=>{{1,9},{2,7},{3,6},{4,10},{5,8}}
[(1,7),(2,10),(3,6),(4,8),(5,9)]=>[(1,9),(2,8),(3,6),(4,10),(5,7)]=>{{1,9},{2,8},{3,6},{4,10},{5,7}}
[(1,6),(2,10),(3,7),(4,8),(5,9)]=>[(1,9),(2,8),(3,7),(4,10),(5,6)]=>{{1,9},{2,8},{3,7},{4,10},{5,6}}
[(1,5),(2,10),(3,7),(4,8),(6,9)]=>[(1,9),(2,8),(3,7),(4,5),(6,10)]=>{{1,9},{2,8},{3,7},{4,5},{6,10}}
[(1,4),(2,10),(3,7),(5,8),(6,9)]=>[(1,9),(2,8),(3,4),(5,7),(6,10)]=>{{1,9},{2,8},{3,4},{5,7},{6,10}}
[(1,3),(2,10),(4,7),(5,8),(6,9)]=>[(1,9),(2,3),(4,8),(5,7),(6,10)]=>{{1,9},{2,3},{4,8},{5,7},{6,10}}
[(1,2),(3,10),(4,7),(5,8),(6,9)]=>[(1,2),(3,9),(4,8),(5,7),(6,10)]=>{{1,2},{3,9},{4,8},{5,7},{6,10}}
[(1,2),(3,9),(4,7),(5,8),(6,10)]=>[(1,2),(3,10),(4,8),(5,7),(6,9)]=>{{1,2},{3,10},{4,8},{5,7},{6,9}}
[(1,3),(2,9),(4,7),(5,8),(6,10)]=>[(1,10),(2,3),(4,8),(5,7),(6,9)]=>{{1,10},{2,3},{4,8},{5,7},{6,9}}
[(1,4),(2,9),(3,7),(5,8),(6,10)]=>[(1,10),(2,8),(3,4),(5,7),(6,9)]=>{{1,10},{2,8},{3,4},{5,7},{6,9}}
[(1,5),(2,9),(3,7),(4,8),(6,10)]=>[(1,10),(2,8),(3,7),(4,5),(6,9)]=>{{1,10},{2,8},{3,7},{4,5},{6,9}}
[(1,6),(2,9),(3,7),(4,8),(5,10)]=>[(1,10),(2,8),(3,7),(4,9),(5,6)]=>{{1,10},{2,8},{3,7},{4,9},{5,6}}
[(1,7),(2,9),(3,6),(4,8),(5,10)]=>[(1,10),(2,8),(3,6),(4,9),(5,7)]=>{{1,10},{2,8},{3,6},{4,9},{5,7}}
[(1,8),(2,9),(3,6),(4,7),(5,10)]=>[(1,10),(2,7),(3,6),(4,9),(5,8)]=>{{1,10},{2,7},{3,6},{4,9},{5,8}}
[(1,9),(2,8),(3,6),(4,7),(5,10)]=>[(1,10),(2,7),(3,6),(4,8),(5,9)]=>{{1,10},{2,7},{3,6},{4,8},{5,9}}
[(1,10),(2,8),(3,6),(4,7),(5,9)]=>[(1,9),(2,7),(3,6),(4,8),(5,10)]=>{{1,9},{2,7},{3,6},{4,8},{5,10}}
[(1,10),(2,7),(3,6),(4,8),(5,9)]=>[(1,9),(2,8),(3,6),(4,7),(5,10)]=>{{1,9},{2,8},{3,6},{4,7},{5,10}}
[(1,9),(2,7),(3,6),(4,8),(5,10)]=>[(1,10),(2,8),(3,6),(4,7),(5,9)]=>{{1,10},{2,8},{3,6},{4,7},{5,9}}
[(1,8),(2,7),(3,6),(4,9),(5,10)]=>[(1,10),(2,9),(3,6),(4,7),(5,8)]=>{{1,10},{2,9},{3,6},{4,7},{5,8}}
[(1,7),(2,8),(3,6),(4,9),(5,10)]=>[(1,10),(2,9),(3,6),(4,8),(5,7)]=>{{1,10},{2,9},{3,6},{4,8},{5,7}}
[(1,6),(2,8),(3,7),(4,9),(5,10)]=>[(1,10),(2,9),(3,7),(4,8),(5,6)]=>{{1,10},{2,9},{3,7},{4,8},{5,6}}
[(1,5),(2,8),(3,7),(4,9),(6,10)]=>[(1,10),(2,9),(3,7),(4,5),(6,8)]=>{{1,10},{2,9},{3,7},{4,5},{6,8}}
[(1,4),(2,8),(3,7),(5,9),(6,10)]=>[(1,10),(2,9),(3,4),(5,7),(6,8)]=>{{1,10},{2,9},{3,4},{5,7},{6,8}}
[(1,3),(2,8),(4,7),(5,9),(6,10)]=>[(1,10),(2,3),(4,9),(5,7),(6,8)]=>{{1,10},{2,3},{4,9},{5,7},{6,8}}
[(1,2),(3,8),(4,7),(5,9),(6,10)]=>[(1,2),(3,10),(4,9),(5,7),(6,8)]=>{{1,2},{3,10},{4,9},{5,7},{6,8}}
[(1,2),(3,7),(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}}
[(1,3),(2,7),(4,8),(5,9),(6,10)]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>{{1,10},{2,3},{4,9},{5,8},{6,7}}
[(1,4),(2,7),(3,8),(5,9),(6,10)]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>{{1,10},{2,9},{3,4},{5,8},{6,7}}
[(1,5),(2,7),(3,8),(4,9),(6,10)]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>{{1,10},{2,9},{3,8},{4,5},{6,7}}
[(1,6),(2,7),(3,8),(4,9),(5,10)]=>[(1,10),(2,9),(3,8),(4,7),(5,6)]=>{{1,10},{2,9},{3,8},{4,7},{5,6}}
[(1,7),(2,6),(3,8),(4,9),(5,10)]=>[(1,10),(2,9),(3,8),(4,6),(5,7)]=>{{1,10},{2,9},{3,8},{4,6},{5,7}}
[(1,8),(2,6),(3,7),(4,9),(5,10)]=>[(1,10),(2,9),(3,7),(4,6),(5,8)]=>{{1,10},{2,9},{3,7},{4,6},{5,8}}
[(1,9),(2,6),(3,7),(4,8),(5,10)]=>[(1,10),(2,8),(3,7),(4,6),(5,9)]=>{{1,10},{2,8},{3,7},{4,6},{5,9}}
[(1,10),(2,6),(3,7),(4,8),(5,9)]=>[(1,9),(2,8),(3,7),(4,6),(5,10)]=>{{1,9},{2,8},{3,7},{4,6},{5,10}}
[(1,10),(2,5),(3,7),(4,8),(6,9)]=>[(1,9),(2,8),(3,5),(4,7),(6,10)]=>{{1,9},{2,8},{3,5},{4,7},{6,10}}
[(1,9),(2,5),(3,7),(4,8),(6,10)]=>[(1,10),(2,8),(3,5),(4,7),(6,9)]=>{{1,10},{2,8},{3,5},{4,7},{6,9}}
[(1,8),(2,5),(3,7),(4,9),(6,10)]=>[(1,10),(2,9),(3,5),(4,7),(6,8)]=>{{1,10},{2,9},{3,5},{4,7},{6,8}}
[(1,7),(2,5),(3,8),(4,9),(6,10)]=>[(1,10),(2,9),(3,5),(4,8),(6,7)]=>{{1,10},{2,9},{3,5},{4,8},{6,7}}
[(1,6),(2,5),(3,8),(4,9),(7,10)]=>[(1,10),(2,9),(3,5),(4,6),(7,8)]=>{{1,10},{2,9},{3,5},{4,6},{7,8}}
[(1,5),(2,6),(3,8),(4,9),(7,10)]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>{{1,10},{2,9},{3,6},{4,5},{7,8}}
[(1,4),(2,6),(3,8),(5,9),(7,10)]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>{{1,10},{2,9},{3,4},{5,6},{7,8}}
[(1,3),(2,6),(4,8),(5,9),(7,10)]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>{{1,10},{2,3},{4,9},{5,6},{7,8}}
[(1,2),(3,6),(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),(3,5),(4,8),(6,9),(7,10)]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>{{1,2},{3,10},{4,5},{6,9},{7,8}}
[(1,3),(2,5),(4,8),(6,9),(7,10)]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>{{1,10},{2,3},{4,5},{6,9},{7,8}}
[(1,4),(2,5),(3,8),(6,9),(7,10)]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>{{1,10},{2,5},{3,4},{6,9},{7,8}}
[(1,5),(2,4),(3,8),(6,9),(7,10)]=>[(1,10),(2,4),(3,5),(6,9),(7,8)]=>{{1,10},{2,4},{3,5},{6,9},{7,8}}
[(1,6),(2,4),(3,8),(5,9),(7,10)]=>[(1,10),(2,4),(3,9),(5,6),(7,8)]=>{{1,10},{2,4},{3,9},{5,6},{7,8}}
[(1,7),(2,4),(3,8),(5,9),(6,10)]=>[(1,10),(2,4),(3,9),(5,8),(6,7)]=>{{1,10},{2,4},{3,9},{5,8},{6,7}}
[(1,8),(2,4),(3,7),(5,9),(6,10)]=>[(1,10),(2,4),(3,9),(5,7),(6,8)]=>{{1,10},{2,4},{3,9},{5,7},{6,8}}
[(1,9),(2,4),(3,7),(5,8),(6,10)]=>[(1,10),(2,4),(3,8),(5,7),(6,9)]=>{{1,10},{2,4},{3,8},{5,7},{6,9}}
[(1,10),(2,4),(3,7),(5,8),(6,9)]=>[(1,9),(2,4),(3,8),(5,7),(6,10)]=>{{1,9},{2,4},{3,8},{5,7},{6,10}}
[(1,10),(2,3),(4,7),(5,8),(6,9)]=>[(1,3),(2,9),(4,8),(5,7),(6,10)]=>{{1,3},{2,9},{4,8},{5,7},{6,10}}
[(1,9),(2,3),(4,7),(5,8),(6,10)]=>[(1,3),(2,10),(4,8),(5,7),(6,9)]=>{{1,3},{2,10},{4,8},{5,7},{6,9}}
[(1,8),(2,3),(4,7),(5,9),(6,10)]=>[(1,3),(2,10),(4,9),(5,7),(6,8)]=>{{1,3},{2,10},{4,9},{5,7},{6,8}}
[(1,7),(2,3),(4,8),(5,9),(6,10)]=>[(1,3),(2,10),(4,9),(5,8),(6,7)]=>{{1,3},{2,10},{4,9},{5,8},{6,7}}
[(1,6),(2,3),(4,8),(5,9),(7,10)]=>[(1,3),(2,10),(4,9),(5,6),(7,8)]=>{{1,3},{2,10},{4,9},{5,6},{7,8}}
[(1,5),(2,3),(4,8),(6,9),(7,10)]=>[(1,3),(2,10),(4,5),(6,9),(7,8)]=>{{1,3},{2,10},{4,5},{6,9},{7,8}}
[(1,4),(2,3),(5,8),(6,9),(7,10)]=>[(1,3),(2,4),(5,10),(6,9),(7,8)]=>{{1,3},{2,4},{5,10},{6,9},{7,8}}
[(1,3),(2,4),(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}}
[(1,2),(3,4),(5,8),(6,9),(7,10)]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>{{1,2},{3,4},{5,10},{6,9},{7,8}}
[(1,2),(3,4),(5,7),(6,9),(8,10)]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>{{1,2},{3,4},{5,10},{6,7},{8,9}}
[(1,3),(2,4),(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}}
[(1,4),(2,3),(5,7),(6,9),(8,10)]=>[(1,3),(2,4),(5,10),(6,7),(8,9)]=>{{1,3},{2,4},{5,10},{6,7},{8,9}}
[(1,5),(2,3),(4,7),(6,9),(8,10)]=>[(1,3),(2,10),(4,5),(6,7),(8,9)]=>{{1,3},{2,10},{4,5},{6,7},{8,9}}
[(1,6),(2,3),(4,7),(5,9),(8,10)]=>[(1,3),(2,10),(4,7),(5,6),(8,9)]=>{{1,3},{2,10},{4,7},{5,6},{8,9}}
[(1,7),(2,3),(4,6),(5,9),(8,10)]=>[(1,3),(2,10),(4,6),(5,7),(8,9)]=>{{1,3},{2,10},{4,6},{5,7},{8,9}}
[(1,8),(2,3),(4,6),(5,9),(7,10)]=>[(1,3),(2,10),(4,6),(5,9),(7,8)]=>{{1,3},{2,10},{4,6},{5,9},{7,8}}
[(1,9),(2,3),(4,6),(5,8),(7,10)]=>[(1,3),(2,10),(4,6),(5,8),(7,9)]=>{{1,3},{2,10},{4,6},{5,8},{7,9}}
[(1,10),(2,3),(4,6),(5,8),(7,9)]=>[(1,3),(2,9),(4,6),(5,8),(7,10)]=>{{1,3},{2,9},{4,6},{5,8},{7,10}}
[(1,10),(2,4),(3,6),(5,8),(7,9)]=>[(1,9),(2,4),(3,6),(5,8),(7,10)]=>{{1,9},{2,4},{3,6},{5,8},{7,10}}
[(1,9),(2,4),(3,6),(5,8),(7,10)]=>[(1,10),(2,4),(3,6),(5,8),(7,9)]=>{{1,10},{2,4},{3,6},{5,8},{7,9}}
[(1,8),(2,4),(3,6),(5,9),(7,10)]=>[(1,10),(2,4),(3,6),(5,9),(7,8)]=>{{1,10},{2,4},{3,6},{5,9},{7,8}}
[(1,7),(2,4),(3,6),(5,9),(8,10)]=>[(1,10),(2,4),(3,6),(5,7),(8,9)]=>{{1,10},{2,4},{3,6},{5,7},{8,9}}
[(1,6),(2,4),(3,7),(5,9),(8,10)]=>[(1,10),(2,4),(3,7),(5,6),(8,9)]=>{{1,10},{2,4},{3,7},{5,6},{8,9}}
[(1,5),(2,4),(3,7),(6,9),(8,10)]=>[(1,10),(2,4),(3,5),(6,7),(8,9)]=>{{1,10},{2,4},{3,5},{6,7},{8,9}}
[(1,4),(2,5),(3,7),(6,9),(8,10)]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>{{1,10},{2,5},{3,4},{6,7},{8,9}}
[(1,3),(2,5),(4,7),(6,9),(8,10)]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>{{1,10},{2,3},{4,5},{6,7},{8,9}}
[(1,2),(3,5),(4,7),(6,9),(8,10)]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>{{1,2},{3,10},{4,5},{6,7},{8,9}}
[(1,2),(3,6),(4,7),(5,9),(8,10)]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>{{1,2},{3,10},{4,7},{5,6},{8,9}}
[(1,3),(2,6),(4,7),(5,9),(8,10)]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>{{1,10},{2,3},{4,7},{5,6},{8,9}}
[(1,4),(2,6),(3,7),(5,9),(8,10)]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>{{1,10},{2,7},{3,4},{5,6},{8,9}}
[(1,5),(2,6),(3,7),(4,9),(8,10)]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>{{1,10},{2,7},{3,6},{4,5},{8,9}}
[(1,6),(2,5),(3,7),(4,9),(8,10)]=>[(1,10),(2,7),(3,5),(4,6),(8,9)]=>{{1,10},{2,7},{3,5},{4,6},{8,9}}
[(1,7),(2,5),(3,6),(4,9),(8,10)]=>[(1,10),(2,6),(3,5),(4,7),(8,9)]=>{{1,10},{2,6},{3,5},{4,7},{8,9}}
[(1,8),(2,5),(3,6),(4,9),(7,10)]=>[(1,10),(2,6),(3,5),(4,9),(7,8)]=>{{1,10},{2,6},{3,5},{4,9},{7,8}}
[(1,9),(2,5),(3,6),(4,8),(7,10)]=>[(1,10),(2,6),(3,5),(4,8),(7,9)]=>{{1,10},{2,6},{3,5},{4,8},{7,9}}
[(1,10),(2,5),(3,6),(4,8),(7,9)]=>[(1,9),(2,6),(3,5),(4,8),(7,10)]=>{{1,9},{2,6},{3,5},{4,8},{7,10}}
[(1,10),(2,6),(3,5),(4,8),(7,9)]=>[(1,9),(2,5),(3,6),(4,8),(7,10)]=>{{1,9},{2,5},{3,6},{4,8},{7,10}}
[(1,9),(2,6),(3,5),(4,8),(7,10)]=>[(1,10),(2,5),(3,6),(4,8),(7,9)]=>{{1,10},{2,5},{3,6},{4,8},{7,9}}
[(1,8),(2,6),(3,5),(4,9),(7,10)]=>[(1,10),(2,5),(3,6),(4,9),(7,8)]=>{{1,10},{2,5},{3,6},{4,9},{7,8}}
[(1,7),(2,6),(3,5),(4,9),(8,10)]=>[(1,10),(2,5),(3,6),(4,7),(8,9)]=>{{1,10},{2,5},{3,6},{4,7},{8,9}}
[(1,6),(2,7),(3,5),(4,9),(8,10)]=>[(1,10),(2,5),(3,7),(4,6),(8,9)]=>{{1,10},{2,5},{3,7},{4,6},{8,9}}
[(1,5),(2,7),(3,6),(4,9),(8,10)]=>[(1,10),(2,6),(3,7),(4,5),(8,9)]=>{{1,10},{2,6},{3,7},{4,5},{8,9}}
[(1,4),(2,7),(3,6),(5,9),(8,10)]=>[(1,10),(2,6),(3,4),(5,7),(8,9)]=>{{1,10},{2,6},{3,4},{5,7},{8,9}}
[(1,3),(2,7),(4,6),(5,9),(8,10)]=>[(1,10),(2,3),(4,6),(5,7),(8,9)]=>{{1,10},{2,3},{4,6},{5,7},{8,9}}
[(1,2),(3,7),(4,6),(5,9),(8,10)]=>[(1,2),(3,10),(4,6),(5,7),(8,9)]=>{{1,2},{3,10},{4,6},{5,7},{8,9}}
[(1,2),(3,8),(4,6),(5,9),(7,10)]=>[(1,2),(3,10),(4,6),(5,9),(7,8)]=>{{1,2},{3,10},{4,6},{5,9},{7,8}}
[(1,3),(2,8),(4,6),(5,9),(7,10)]=>[(1,10),(2,3),(4,6),(5,9),(7,8)]=>{{1,10},{2,3},{4,6},{5,9},{7,8}}
[(1,4),(2,8),(3,6),(5,9),(7,10)]=>[(1,10),(2,6),(3,4),(5,9),(7,8)]=>{{1,10},{2,6},{3,4},{5,9},{7,8}}
[(1,5),(2,8),(3,6),(4,9),(7,10)]=>[(1,10),(2,6),(3,9),(4,5),(7,8)]=>{{1,10},{2,6},{3,9},{4,5},{7,8}}
[(1,6),(2,8),(3,5),(4,9),(7,10)]=>[(1,10),(2,5),(3,9),(4,6),(7,8)]=>{{1,10},{2,5},{3,9},{4,6},{7,8}}
[(1,7),(2,8),(3,5),(4,9),(6,10)]=>[(1,10),(2,5),(3,9),(4,8),(6,7)]=>{{1,10},{2,5},{3,9},{4,8},{6,7}}
[(1,8),(2,7),(3,5),(4,9),(6,10)]=>[(1,10),(2,5),(3,9),(4,7),(6,8)]=>{{1,10},{2,5},{3,9},{4,7},{6,8}}
[(1,9),(2,7),(3,5),(4,8),(6,10)]=>[(1,10),(2,5),(3,8),(4,7),(6,9)]=>{{1,10},{2,5},{3,8},{4,7},{6,9}}
[(1,10),(2,7),(3,5),(4,8),(6,9)]=>[(1,9),(2,5),(3,8),(4,7),(6,10)]=>{{1,9},{2,5},{3,8},{4,7},{6,10}}
[(1,10),(2,8),(3,5),(4,7),(6,9)]=>[(1,9),(2,5),(3,7),(4,8),(6,10)]=>{{1,9},{2,5},{3,7},{4,8},{6,10}}
[(1,9),(2,8),(3,5),(4,7),(6,10)]=>[(1,10),(2,5),(3,7),(4,8),(6,9)]=>{{1,10},{2,5},{3,7},{4,8},{6,9}}
[(1,8),(2,9),(3,5),(4,7),(6,10)]=>[(1,10),(2,5),(3,7),(4,9),(6,8)]=>{{1,10},{2,5},{3,7},{4,9},{6,8}}
[(1,7),(2,9),(3,5),(4,8),(6,10)]=>[(1,10),(2,5),(3,8),(4,9),(6,7)]=>{{1,10},{2,5},{3,8},{4,9},{6,7}}
[(1,6),(2,9),(3,5),(4,8),(7,10)]=>[(1,10),(2,5),(3,8),(4,6),(7,9)]=>{{1,10},{2,5},{3,8},{4,6},{7,9}}
[(1,5),(2,9),(3,6),(4,8),(7,10)]=>[(1,10),(2,6),(3,8),(4,5),(7,9)]=>{{1,10},{2,6},{3,8},{4,5},{7,9}}
[(1,4),(2,9),(3,6),(5,8),(7,10)]=>[(1,10),(2,6),(3,4),(5,8),(7,9)]=>{{1,10},{2,6},{3,4},{5,8},{7,9}}
[(1,3),(2,9),(4,6),(5,8),(7,10)]=>[(1,10),(2,3),(4,6),(5,8),(7,9)]=>{{1,10},{2,3},{4,6},{5,8},{7,9}}
[(1,2),(3,9),(4,6),(5,8),(7,10)]=>[(1,2),(3,10),(4,6),(5,8),(7,9)]=>{{1,2},{3,10},{4,6},{5,8},{7,9}}
[(1,2),(3,10),(4,6),(5,8),(7,9)]=>[(1,2),(3,9),(4,6),(5,8),(7,10)]=>{{1,2},{3,9},{4,6},{5,8},{7,10}}
[(1,3),(2,10),(4,6),(5,8),(7,9)]=>[(1,9),(2,3),(4,6),(5,8),(7,10)]=>{{1,9},{2,3},{4,6},{5,8},{7,10}}
[(1,4),(2,10),(3,6),(5,8),(7,9)]=>[(1,9),(2,6),(3,4),(5,8),(7,10)]=>{{1,9},{2,6},{3,4},{5,8},{7,10}}
[(1,5),(2,10),(3,6),(4,8),(7,9)]=>[(1,9),(2,6),(3,8),(4,5),(7,10)]=>{{1,9},{2,6},{3,8},{4,5},{7,10}}
[(1,6),(2,10),(3,5),(4,8),(7,9)]=>[(1,9),(2,5),(3,8),(4,6),(7,10)]=>{{1,9},{2,5},{3,8},{4,6},{7,10}}
[(1,7),(2,10),(3,5),(4,8),(6,9)]=>[(1,9),(2,5),(3,8),(4,10),(6,7)]=>{{1,9},{2,5},{3,8},{4,10},{6,7}}
[(1,8),(2,10),(3,5),(4,7),(6,9)]=>[(1,9),(2,5),(3,7),(4,10),(6,8)]=>{{1,9},{2,5},{3,7},{4,10},{6,8}}
[(1,9),(2,10),(3,5),(4,7),(6,8)]=>[(1,8),(2,5),(3,7),(4,10),(6,9)]=>{{1,8},{2,5},{3,7},{4,10},{6,9}}
[(1,10),(2,9),(3,5),(4,7),(6,8)]=>[(1,8),(2,5),(3,7),(4,9),(6,10)]=>{{1,8},{2,5},{3,7},{4,9},{6,10}}
[(1,10),(2,9),(3,4),(5,7),(6,8)]=>[(1,4),(2,8),(3,7),(5,9),(6,10)]=>{{1,4},{2,8},{3,7},{5,9},{6,10}}
[(1,9),(2,10),(3,4),(5,7),(6,8)]=>[(1,4),(2,8),(3,7),(5,10),(6,9)]=>{{1,4},{2,8},{3,7},{5,10},{6,9}}
[(1,8),(2,10),(3,4),(5,7),(6,9)]=>[(1,4),(2,9),(3,7),(5,10),(6,8)]=>{{1,4},{2,9},{3,7},{5,10},{6,8}}
[(1,7),(2,10),(3,4),(5,8),(6,9)]=>[(1,4),(2,9),(3,8),(5,10),(6,7)]=>{{1,4},{2,9},{3,8},{5,10},{6,7}}
[(1,6),(2,10),(3,4),(5,8),(7,9)]=>[(1,4),(2,9),(3,8),(5,6),(7,10)]=>{{1,4},{2,9},{3,8},{5,6},{7,10}}
[(1,5),(2,10),(3,4),(6,8),(7,9)]=>[(1,4),(2,9),(3,5),(6,8),(7,10)]=>{{1,4},{2,9},{3,5},{6,8},{7,10}}
[(1,4),(2,10),(3,5),(6,8),(7,9)]=>[(1,5),(2,9),(3,4),(6,8),(7,10)]=>{{1,5},{2,9},{3,4},{6,8},{7,10}}
[(1,3),(2,10),(4,5),(6,8),(7,9)]=>[(1,5),(2,3),(4,9),(6,8),(7,10)]=>{{1,5},{2,3},{4,9},{6,8},{7,10}}
[(1,2),(3,10),(4,5),(6,8),(7,9)]=>[(1,2),(3,5),(4,9),(6,8),(7,10)]=>{{1,2},{3,5},{4,9},{6,8},{7,10}}
[(1,2),(3,9),(4,5),(6,8),(7,10)]=>[(1,2),(3,5),(4,10),(6,8),(7,9)]=>{{1,2},{3,5},{4,10},{6,8},{7,9}}
[(1,3),(2,9),(4,5),(6,8),(7,10)]=>[(1,5),(2,3),(4,10),(6,8),(7,9)]=>{{1,5},{2,3},{4,10},{6,8},{7,9}}
[(1,4),(2,9),(3,5),(6,8),(7,10)]=>[(1,5),(2,10),(3,4),(6,8),(7,9)]=>{{1,5},{2,10},{3,4},{6,8},{7,9}}
[(1,5),(2,9),(3,4),(6,8),(7,10)]=>[(1,4),(2,10),(3,5),(6,8),(7,9)]=>{{1,4},{2,10},{3,5},{6,8},{7,9}}
[(1,6),(2,9),(3,4),(5,8),(7,10)]=>[(1,4),(2,10),(3,8),(5,6),(7,9)]=>{{1,4},{2,10},{3,8},{5,6},{7,9}}
[(1,7),(2,9),(3,4),(5,8),(6,10)]=>[(1,4),(2,10),(3,8),(5,9),(6,7)]=>{{1,4},{2,10},{3,8},{5,9},{6,7}}
[(1,8),(2,9),(3,4),(5,7),(6,10)]=>[(1,4),(2,10),(3,7),(5,9),(6,8)]=>{{1,4},{2,10},{3,7},{5,9},{6,8}}
[(1,9),(2,8),(3,4),(5,7),(6,10)]=>[(1,4),(2,10),(3,7),(5,8),(6,9)]=>{{1,4},{2,10},{3,7},{5,8},{6,9}}
[(1,10),(2,8),(3,4),(5,7),(6,9)]=>[(1,4),(2,9),(3,7),(5,8),(6,10)]=>{{1,4},{2,9},{3,7},{5,8},{6,10}}
[(1,10),(2,7),(3,4),(5,8),(6,9)]=>[(1,4),(2,9),(3,8),(5,7),(6,10)]=>{{1,4},{2,9},{3,8},{5,7},{6,10}}
[(1,9),(2,7),(3,4),(5,8),(6,10)]=>[(1,4),(2,10),(3,8),(5,7),(6,9)]=>{{1,4},{2,10},{3,8},{5,7},{6,9}}
[(1,8),(2,7),(3,4),(5,9),(6,10)]=>[(1,4),(2,10),(3,9),(5,7),(6,8)]=>{{1,4},{2,10},{3,9},{5,7},{6,8}}
[(1,7),(2,8),(3,4),(5,9),(6,10)]=>[(1,4),(2,10),(3,9),(5,8),(6,7)]=>{{1,4},{2,10},{3,9},{5,8},{6,7}}
[(1,6),(2,8),(3,4),(5,9),(7,10)]=>[(1,4),(2,10),(3,9),(5,6),(7,8)]=>{{1,4},{2,10},{3,9},{5,6},{7,8}}
[(1,5),(2,8),(3,4),(6,9),(7,10)]=>[(1,4),(2,10),(3,5),(6,9),(7,8)]=>{{1,4},{2,10},{3,5},{6,9},{7,8}}
[(1,4),(2,8),(3,5),(6,9),(7,10)]=>[(1,5),(2,10),(3,4),(6,9),(7,8)]=>{{1,5},{2,10},{3,4},{6,9},{7,8}}
[(1,3),(2,8),(4,5),(6,9),(7,10)]=>[(1,5),(2,3),(4,10),(6,9),(7,8)]=>{{1,5},{2,3},{4,10},{6,9},{7,8}}
[(1,2),(3,8),(4,5),(6,9),(7,10)]=>[(1,2),(3,5),(4,10),(6,9),(7,8)]=>{{1,2},{3,5},{4,10},{6,9},{7,8}}
[(1,2),(3,7),(4,5),(6,9),(8,10)]=>[(1,2),(3,5),(4,10),(6,7),(8,9)]=>{{1,2},{3,5},{4,10},{6,7},{8,9}}
[(1,3),(2,7),(4,5),(6,9),(8,10)]=>[(1,5),(2,3),(4,10),(6,7),(8,9)]=>{{1,5},{2,3},{4,10},{6,7},{8,9}}
[(1,4),(2,7),(3,5),(6,9),(8,10)]=>[(1,5),(2,10),(3,4),(6,7),(8,9)]=>{{1,5},{2,10},{3,4},{6,7},{8,9}}
[(1,5),(2,7),(3,4),(6,9),(8,10)]=>[(1,4),(2,10),(3,5),(6,7),(8,9)]=>{{1,4},{2,10},{3,5},{6,7},{8,9}}
[(1,6),(2,7),(3,4),(5,9),(8,10)]=>[(1,4),(2,10),(3,7),(5,6),(8,9)]=>{{1,4},{2,10},{3,7},{5,6},{8,9}}
[(1,7),(2,6),(3,4),(5,9),(8,10)]=>[(1,4),(2,10),(3,6),(5,7),(8,9)]=>{{1,4},{2,10},{3,6},{5,7},{8,9}}
[(1,8),(2,6),(3,4),(5,9),(7,10)]=>[(1,4),(2,10),(3,6),(5,9),(7,8)]=>{{1,4},{2,10},{3,6},{5,9},{7,8}}
[(1,9),(2,6),(3,4),(5,8),(7,10)]=>[(1,4),(2,10),(3,6),(5,8),(7,9)]=>{{1,4},{2,10},{3,6},{5,8},{7,9}}
[(1,10),(2,6),(3,4),(5,8),(7,9)]=>[(1,4),(2,9),(3,6),(5,8),(7,10)]=>{{1,4},{2,9},{3,6},{5,8},{7,10}}
[(1,10),(2,5),(3,4),(6,8),(7,9)]=>[(1,4),(2,5),(3,9),(6,8),(7,10)]=>{{1,4},{2,5},{3,9},{6,8},{7,10}}
[(1,9),(2,5),(3,4),(6,8),(7,10)]=>[(1,4),(2,5),(3,10),(6,8),(7,9)]=>{{1,4},{2,5},{3,10},{6,8},{7,9}}
[(1,8),(2,5),(3,4),(6,9),(7,10)]=>[(1,4),(2,5),(3,10),(6,9),(7,8)]=>{{1,4},{2,5},{3,10},{6,9},{7,8}}
[(1,7),(2,5),(3,4),(6,9),(8,10)]=>[(1,4),(2,5),(3,10),(6,7),(8,9)]=>{{1,4},{2,5},{3,10},{6,7},{8,9}}
[(1,6),(2,5),(3,4),(7,9),(8,10)]=>[(1,4),(2,5),(3,6),(7,10),(8,9)]=>{{1,4},{2,5},{3,6},{7,10},{8,9}}
[(1,5),(2,6),(3,4),(7,9),(8,10)]=>[(1,4),(2,6),(3,5),(7,10),(8,9)]=>{{1,4},{2,6},{3,5},{7,10},{8,9}}
[(1,4),(2,6),(3,5),(7,9),(8,10)]=>[(1,5),(2,6),(3,4),(7,10),(8,9)]=>{{1,5},{2,6},{3,4},{7,10},{8,9}}
[(1,3),(2,6),(4,5),(7,9),(8,10)]=>[(1,5),(2,3),(4,6),(7,10),(8,9)]=>{{1,5},{2,3},{4,6},{7,10},{8,9}}
[(1,2),(3,6),(4,5),(7,9),(8,10)]=>[(1,2),(3,5),(4,6),(7,10),(8,9)]=>{{1,2},{3,5},{4,6},{7,10},{8,9}}
[(1,2),(3,5),(4,6),(7,9),(8,10)]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>{{1,2},{3,6},{4,5},{7,10},{8,9}}
[(1,3),(2,5),(4,6),(7,9),(8,10)]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>{{1,6},{2,3},{4,5},{7,10},{8,9}}
[(1,4),(2,5),(3,6),(7,9),(8,10)]=>[(1,6),(2,5),(3,4),(7,10),(8,9)]=>{{1,6},{2,5},{3,4},{7,10},{8,9}}
[(1,5),(2,4),(3,6),(7,9),(8,10)]=>[(1,6),(2,4),(3,5),(7,10),(8,9)]=>{{1,6},{2,4},{3,5},{7,10},{8,9}}
[(1,6),(2,4),(3,5),(7,9),(8,10)]=>[(1,5),(2,4),(3,6),(7,10),(8,9)]=>{{1,5},{2,4},{3,6},{7,10},{8,9}}
[(1,7),(2,4),(3,5),(6,9),(8,10)]=>[(1,5),(2,4),(3,10),(6,7),(8,9)]=>{{1,5},{2,4},{3,10},{6,7},{8,9}}
[(1,8),(2,4),(3,5),(6,9),(7,10)]=>[(1,5),(2,4),(3,10),(6,9),(7,8)]=>{{1,5},{2,4},{3,10},{6,9},{7,8}}
[(1,9),(2,4),(3,5),(6,8),(7,10)]=>[(1,5),(2,4),(3,10),(6,8),(7,9)]=>{{1,5},{2,4},{3,10},{6,8},{7,9}}
[(1,10),(2,4),(3,5),(6,8),(7,9)]=>[(1,5),(2,4),(3,9),(6,8),(7,10)]=>{{1,5},{2,4},{3,9},{6,8},{7,10}}
[(1,10),(2,3),(4,5),(6,8),(7,9)]=>[(1,3),(2,5),(4,9),(6,8),(7,10)]=>{{1,3},{2,5},{4,9},{6,8},{7,10}}
[(1,9),(2,3),(4,5),(6,8),(7,10)]=>[(1,3),(2,5),(4,10),(6,8),(7,9)]=>{{1,3},{2,5},{4,10},{6,8},{7,9}}
[(1,8),(2,3),(4,5),(6,9),(7,10)]=>[(1,3),(2,5),(4,10),(6,9),(7,8)]=>{{1,3},{2,5},{4,10},{6,9},{7,8}}
[(1,7),(2,3),(4,5),(6,9),(8,10)]=>[(1,3),(2,5),(4,10),(6,7),(8,9)]=>{{1,3},{2,5},{4,10},{6,7},{8,9}}
[(1,6),(2,3),(4,5),(7,9),(8,10)]=>[(1,3),(2,5),(4,6),(7,10),(8,9)]=>{{1,3},{2,5},{4,6},{7,10},{8,9}}
[(1,5),(2,3),(4,6),(7,9),(8,10)]=>[(1,3),(2,6),(4,5),(7,10),(8,9)]=>{{1,3},{2,6},{4,5},{7,10},{8,9}}
[(1,4),(2,3),(5,6),(7,9),(8,10)]=>[(1,3),(2,4),(5,6),(7,10),(8,9)]=>{{1,3},{2,4},{5,6},{7,10},{8,9}}
[(1,3),(2,4),(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}}
[(1,2),(3,4),(5,6),(7,9),(8,10)]=>[(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),(7,10),(8,9)]=>[(1,2),(3,4),(5,6),(7,9),(8,10)]=>{{1,2},{3,4},{5,6},{7,9},{8,10}}
[(1,3),(2,4),(5,6),(7,10),(8,9)]=>[(1,4),(2,3),(5,6),(7,9),(8,10)]=>{{1,4},{2,3},{5,6},{7,9},{8,10}}
[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[(1,3),(2,4),(5,6),(7,9),(8,10)]=>{{1,3},{2,4},{5,6},{7,9},{8,10}}
[(1,5),(2,3),(4,6),(7,10),(8,9)]=>[(1,3),(2,6),(4,5),(7,9),(8,10)]=>{{1,3},{2,6},{4,5},{7,9},{8,10}}
[(1,6),(2,3),(4,5),(7,10),(8,9)]=>[(1,3),(2,5),(4,6),(7,9),(8,10)]=>{{1,3},{2,5},{4,6},{7,9},{8,10}}
[(1,7),(2,3),(4,5),(6,10),(8,9)]=>[(1,3),(2,5),(4,9),(6,7),(8,10)]=>{{1,3},{2,5},{4,9},{6,7},{8,10}}
[(1,8),(2,3),(4,5),(6,10),(7,9)]=>[(1,3),(2,5),(4,9),(6,10),(7,8)]=>{{1,3},{2,5},{4,9},{6,10},{7,8}}
[(1,9),(2,3),(4,5),(6,10),(7,8)]=>[(1,3),(2,5),(4,8),(6,10),(7,9)]=>{{1,3},{2,5},{4,8},{6,10},{7,9}}
[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[(1,3),(2,5),(4,8),(6,9),(7,10)]=>{{1,3},{2,5},{4,8},{6,9},{7,10}}
[(1,10),(2,4),(3,5),(6,9),(7,8)]=>[(1,5),(2,4),(3,8),(6,9),(7,10)]=>{{1,5},{2,4},{3,8},{6,9},{7,10}}
[(1,9),(2,4),(3,5),(6,10),(7,8)]=>[(1,5),(2,4),(3,8),(6,10),(7,9)]=>{{1,5},{2,4},{3,8},{6,10},{7,9}}
[(1,8),(2,4),(3,5),(6,10),(7,9)]=>[(1,5),(2,4),(3,9),(6,10),(7,8)]=>{{1,5},{2,4},{3,9},{6,10},{7,8}}
[(1,7),(2,4),(3,5),(6,10),(8,9)]=>[(1,5),(2,4),(3,9),(6,7),(8,10)]=>{{1,5},{2,4},{3,9},{6,7},{8,10}}
[(1,6),(2,4),(3,5),(7,10),(8,9)]=>[(1,5),(2,4),(3,6),(7,9),(8,10)]=>{{1,5},{2,4},{3,6},{7,9},{8,10}}
[(1,5),(2,4),(3,6),(7,10),(8,9)]=>[(1,6),(2,4),(3,5),(7,9),(8,10)]=>{{1,6},{2,4},{3,5},{7,9},{8,10}}
[(1,4),(2,5),(3,6),(7,10),(8,9)]=>[(1,6),(2,5),(3,4),(7,9),(8,10)]=>{{1,6},{2,5},{3,4},{7,9},{8,10}}
[(1,3),(2,5),(4,6),(7,10),(8,9)]=>[(1,6),(2,3),(4,5),(7,9),(8,10)]=>{{1,6},{2,3},{4,5},{7,9},{8,10}}
[(1,2),(3,5),(4,6),(7,10),(8,9)]=>[(1,2),(3,6),(4,5),(7,9),(8,10)]=>{{1,2},{3,6},{4,5},{7,9},{8,10}}
[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[(1,2),(3,5),(4,6),(7,9),(8,10)]=>{{1,2},{3,5},{4,6},{7,9},{8,10}}
[(1,3),(2,6),(4,5),(7,10),(8,9)]=>[(1,5),(2,3),(4,6),(7,9),(8,10)]=>{{1,5},{2,3},{4,6},{7,9},{8,10}}
[(1,4),(2,6),(3,5),(7,10),(8,9)]=>[(1,5),(2,6),(3,4),(7,9),(8,10)]=>{{1,5},{2,6},{3,4},{7,9},{8,10}}
[(1,5),(2,6),(3,4),(7,10),(8,9)]=>[(1,4),(2,6),(3,5),(7,9),(8,10)]=>{{1,4},{2,6},{3,5},{7,9},{8,10}}
[(1,6),(2,5),(3,4),(7,10),(8,9)]=>[(1,4),(2,5),(3,6),(7,9),(8,10)]=>{{1,4},{2,5},{3,6},{7,9},{8,10}}
[(1,7),(2,5),(3,4),(6,10),(8,9)]=>[(1,4),(2,5),(3,9),(6,7),(8,10)]=>{{1,4},{2,5},{3,9},{6,7},{8,10}}
[(1,8),(2,5),(3,4),(6,10),(7,9)]=>[(1,4),(2,5),(3,9),(6,10),(7,8)]=>{{1,4},{2,5},{3,9},{6,10},{7,8}}
[(1,9),(2,5),(3,4),(6,10),(7,8)]=>[(1,4),(2,5),(3,8),(6,10),(7,9)]=>{{1,4},{2,5},{3,8},{6,10},{7,9}}
[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[(1,4),(2,5),(3,8),(6,9),(7,10)]=>{{1,4},{2,5},{3,8},{6,9},{7,10}}
[(1,10),(2,6),(3,4),(5,9),(7,8)]=>[(1,4),(2,8),(3,6),(5,9),(7,10)]=>{{1,4},{2,8},{3,6},{5,9},{7,10}}
[(1,9),(2,6),(3,4),(5,10),(7,8)]=>[(1,4),(2,8),(3,6),(5,10),(7,9)]=>{{1,4},{2,8},{3,6},{5,10},{7,9}}
[(1,8),(2,6),(3,4),(5,10),(7,9)]=>[(1,4),(2,9),(3,6),(5,10),(7,8)]=>{{1,4},{2,9},{3,6},{5,10},{7,8}}
[(1,7),(2,6),(3,4),(5,10),(8,9)]=>[(1,4),(2,9),(3,6),(5,7),(8,10)]=>{{1,4},{2,9},{3,6},{5,7},{8,10}}
[(1,6),(2,7),(3,4),(5,10),(8,9)]=>[(1,4),(2,9),(3,7),(5,6),(8,10)]=>{{1,4},{2,9},{3,7},{5,6},{8,10}}
[(1,5),(2,7),(3,4),(6,10),(8,9)]=>[(1,4),(2,9),(3,5),(6,7),(8,10)]=>{{1,4},{2,9},{3,5},{6,7},{8,10}}
[(1,4),(2,7),(3,5),(6,10),(8,9)]=>[(1,5),(2,9),(3,4),(6,7),(8,10)]=>{{1,5},{2,9},{3,4},{6,7},{8,10}}
[(1,3),(2,7),(4,5),(6,10),(8,9)]=>[(1,5),(2,3),(4,9),(6,7),(8,10)]=>{{1,5},{2,3},{4,9},{6,7},{8,10}}
[(1,2),(3,7),(4,5),(6,10),(8,9)]=>[(1,2),(3,5),(4,9),(6,7),(8,10)]=>{{1,2},{3,5},{4,9},{6,7},{8,10}}
[(1,2),(3,8),(4,5),(6,10),(7,9)]=>[(1,2),(3,5),(4,9),(6,10),(7,8)]=>{{1,2},{3,5},{4,9},{6,10},{7,8}}
[(1,3),(2,8),(4,5),(6,10),(7,9)]=>[(1,5),(2,3),(4,9),(6,10),(7,8)]=>{{1,5},{2,3},{4,9},{6,10},{7,8}}
[(1,4),(2,8),(3,5),(6,10),(7,9)]=>[(1,5),(2,9),(3,4),(6,10),(7,8)]=>{{1,5},{2,9},{3,4},{6,10},{7,8}}
[(1,5),(2,8),(3,4),(6,10),(7,9)]=>[(1,4),(2,9),(3,5),(6,10),(7,8)]=>{{1,4},{2,9},{3,5},{6,10},{7,8}}
[(1,6),(2,8),(3,4),(5,10),(7,9)]=>[(1,4),(2,9),(3,10),(5,6),(7,8)]=>{{1,4},{2,9},{3,10},{5,6},{7,8}}
[(1,7),(2,8),(3,4),(5,10),(6,9)]=>[(1,4),(2,9),(3,10),(5,8),(6,7)]=>{{1,4},{2,9},{3,10},{5,8},{6,7}}
[(1,8),(2,7),(3,4),(5,10),(6,9)]=>[(1,4),(2,9),(3,10),(5,7),(6,8)]=>{{1,4},{2,9},{3,10},{5,7},{6,8}}
[(1,9),(2,7),(3,4),(5,10),(6,8)]=>[(1,4),(2,8),(3,10),(5,7),(6,9)]=>{{1,4},{2,8},{3,10},{5,7},{6,9}}
[(1,10),(2,7),(3,4),(5,9),(6,8)]=>[(1,4),(2,8),(3,9),(5,7),(6,10)]=>{{1,4},{2,8},{3,9},{5,7},{6,10}}
[(1,10),(2,8),(3,4),(5,9),(6,7)]=>[(1,4),(2,7),(3,9),(5,8),(6,10)]=>{{1,4},{2,7},{3,9},{5,8},{6,10}}
[(1,9),(2,8),(3,4),(5,10),(6,7)]=>[(1,4),(2,7),(3,10),(5,8),(6,9)]=>{{1,4},{2,7},{3,10},{5,8},{6,9}}
[(1,8),(2,9),(3,4),(5,10),(6,7)]=>[(1,4),(2,7),(3,10),(5,9),(6,8)]=>{{1,4},{2,7},{3,10},{5,9},{6,8}}
[(1,7),(2,9),(3,4),(5,10),(6,8)]=>[(1,4),(2,8),(3,10),(5,9),(6,7)]=>{{1,4},{2,8},{3,10},{5,9},{6,7}}
[(1,6),(2,9),(3,4),(5,10),(7,8)]=>[(1,4),(2,8),(3,10),(5,6),(7,9)]=>{{1,4},{2,8},{3,10},{5,6},{7,9}}
[(1,5),(2,9),(3,4),(6,10),(7,8)]=>[(1,4),(2,8),(3,5),(6,10),(7,9)]=>{{1,4},{2,8},{3,5},{6,10},{7,9}}
[(1,4),(2,9),(3,5),(6,10),(7,8)]=>[(1,5),(2,8),(3,4),(6,10),(7,9)]=>{{1,5},{2,8},{3,4},{6,10},{7,9}}
[(1,3),(2,9),(4,5),(6,10),(7,8)]=>[(1,5),(2,3),(4,8),(6,10),(7,9)]=>{{1,5},{2,3},{4,8},{6,10},{7,9}}
[(1,2),(3,9),(4,5),(6,10),(7,8)]=>[(1,2),(3,5),(4,8),(6,10),(7,9)]=>{{1,2},{3,5},{4,8},{6,10},{7,9}}
[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[(1,2),(3,5),(4,8),(6,9),(7,10)]=>{{1,2},{3,5},{4,8},{6,9},{7,10}}
[(1,3),(2,10),(4,5),(6,9),(7,8)]=>[(1,5),(2,3),(4,8),(6,9),(7,10)]=>{{1,5},{2,3},{4,8},{6,9},{7,10}}
[(1,4),(2,10),(3,5),(6,9),(7,8)]=>[(1,5),(2,8),(3,4),(6,9),(7,10)]=>{{1,5},{2,8},{3,4},{6,9},{7,10}}
[(1,5),(2,10),(3,4),(6,9),(7,8)]=>[(1,4),(2,8),(3,5),(6,9),(7,10)]=>{{1,4},{2,8},{3,5},{6,9},{7,10}}
[(1,6),(2,10),(3,4),(5,9),(7,8)]=>[(1,4),(2,8),(3,9),(5,6),(7,10)]=>{{1,4},{2,8},{3,9},{5,6},{7,10}}
[(1,7),(2,10),(3,4),(5,9),(6,8)]=>[(1,4),(2,8),(3,9),(5,10),(6,7)]=>{{1,4},{2,8},{3,9},{5,10},{6,7}}
[(1,8),(2,10),(3,4),(5,9),(6,7)]=>[(1,4),(2,7),(3,9),(5,10),(6,8)]=>{{1,4},{2,7},{3,9},{5,10},{6,8}}
[(1,9),(2,10),(3,4),(5,8),(6,7)]=>[(1,4),(2,7),(3,8),(5,10),(6,9)]=>{{1,4},{2,7},{3,8},{5,10},{6,9}}
[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[(1,4),(2,7),(3,8),(5,9),(6,10)]=>{{1,4},{2,7},{3,8},{5,9},{6,10}}
[(1,10),(2,9),(3,5),(4,8),(6,7)]=>[(1,7),(2,5),(3,8),(4,9),(6,10)]=>{{1,7},{2,5},{3,8},{4,9},{6,10}}
[(1,9),(2,10),(3,5),(4,8),(6,7)]=>[(1,7),(2,5),(3,8),(4,10),(6,9)]=>{{1,7},{2,5},{3,8},{4,10},{6,9}}
[(1,8),(2,10),(3,5),(4,9),(6,7)]=>[(1,7),(2,5),(3,9),(4,10),(6,8)]=>{{1,7},{2,5},{3,9},{4,10},{6,8}}
[(1,7),(2,10),(3,5),(4,9),(6,8)]=>[(1,8),(2,5),(3,9),(4,10),(6,7)]=>{{1,8},{2,5},{3,9},{4,10},{6,7}}
[(1,6),(2,10),(3,5),(4,9),(7,8)]=>[(1,8),(2,5),(3,9),(4,6),(7,10)]=>{{1,8},{2,5},{3,9},{4,6},{7,10}}
[(1,5),(2,10),(3,6),(4,9),(7,8)]=>[(1,8),(2,6),(3,9),(4,5),(7,10)]=>{{1,8},{2,6},{3,9},{4,5},{7,10}}
[(1,4),(2,10),(3,6),(5,9),(7,8)]=>[(1,8),(2,6),(3,4),(5,9),(7,10)]=>{{1,8},{2,6},{3,4},{5,9},{7,10}}
[(1,3),(2,10),(4,6),(5,9),(7,8)]=>[(1,8),(2,3),(4,6),(5,9),(7,10)]=>{{1,8},{2,3},{4,6},{5,9},{7,10}}
[(1,2),(3,10),(4,6),(5,9),(7,8)]=>[(1,2),(3,8),(4,6),(5,9),(7,10)]=>{{1,2},{3,8},{4,6},{5,9},{7,10}}
[(1,2),(3,9),(4,6),(5,10),(7,8)]=>[(1,2),(3,8),(4,6),(5,10),(7,9)]=>{{1,2},{3,8},{4,6},{5,10},{7,9}}
[(1,3),(2,9),(4,6),(5,10),(7,8)]=>[(1,8),(2,3),(4,6),(5,10),(7,9)]=>{{1,8},{2,3},{4,6},{5,10},{7,9}}
[(1,4),(2,9),(3,6),(5,10),(7,8)]=>[(1,8),(2,6),(3,4),(5,10),(7,9)]=>{{1,8},{2,6},{3,4},{5,10},{7,9}}
[(1,5),(2,9),(3,6),(4,10),(7,8)]=>[(1,8),(2,6),(3,10),(4,5),(7,9)]=>{{1,8},{2,6},{3,10},{4,5},{7,9}}
[(1,6),(2,9),(3,5),(4,10),(7,8)]=>[(1,8),(2,5),(3,10),(4,6),(7,9)]=>{{1,8},{2,5},{3,10},{4,6},{7,9}}
[(1,7),(2,9),(3,5),(4,10),(6,8)]=>[(1,8),(2,5),(3,10),(4,9),(6,7)]=>{{1,8},{2,5},{3,10},{4,9},{6,7}}
[(1,8),(2,9),(3,5),(4,10),(6,7)]=>[(1,7),(2,5),(3,10),(4,9),(6,8)]=>{{1,7},{2,5},{3,10},{4,9},{6,8}}
[(1,9),(2,8),(3,5),(4,10),(6,7)]=>[(1,7),(2,5),(3,10),(4,8),(6,9)]=>{{1,7},{2,5},{3,10},{4,8},{6,9}}
[(1,10),(2,8),(3,5),(4,9),(6,7)]=>[(1,7),(2,5),(3,9),(4,8),(6,10)]=>{{1,7},{2,5},{3,9},{4,8},{6,10}}
[(1,10),(2,7),(3,5),(4,9),(6,8)]=>[(1,8),(2,5),(3,9),(4,7),(6,10)]=>{{1,8},{2,5},{3,9},{4,7},{6,10}}
[(1,9),(2,7),(3,5),(4,10),(6,8)]=>[(1,8),(2,5),(3,10),(4,7),(6,9)]=>{{1,8},{2,5},{3,10},{4,7},{6,9}}
[(1,8),(2,7),(3,5),(4,10),(6,9)]=>[(1,9),(2,5),(3,10),(4,7),(6,8)]=>{{1,9},{2,5},{3,10},{4,7},{6,8}}
[(1,7),(2,8),(3,5),(4,10),(6,9)]=>[(1,9),(2,5),(3,10),(4,8),(6,7)]=>{{1,9},{2,5},{3,10},{4,8},{6,7}}
[(1,6),(2,8),(3,5),(4,10),(7,9)]=>[(1,9),(2,5),(3,10),(4,6),(7,8)]=>{{1,9},{2,5},{3,10},{4,6},{7,8}}
[(1,5),(2,8),(3,6),(4,10),(7,9)]=>[(1,9),(2,6),(3,10),(4,5),(7,8)]=>{{1,9},{2,6},{3,10},{4,5},{7,8}}
[(1,4),(2,8),(3,6),(5,10),(7,9)]=>[(1,9),(2,6),(3,4),(5,10),(7,8)]=>{{1,9},{2,6},{3,4},{5,10},{7,8}}
[(1,3),(2,8),(4,6),(5,10),(7,9)]=>[(1,9),(2,3),(4,6),(5,10),(7,8)]=>{{1,9},{2,3},{4,6},{5,10},{7,8}}
[(1,2),(3,8),(4,6),(5,10),(7,9)]=>[(1,2),(3,9),(4,6),(5,10),(7,8)]=>{{1,2},{3,9},{4,6},{5,10},{7,8}}
[(1,2),(3,7),(4,6),(5,10),(8,9)]=>[(1,2),(3,9),(4,6),(5,7),(8,10)]=>{{1,2},{3,9},{4,6},{5,7},{8,10}}
[(1,3),(2,7),(4,6),(5,10),(8,9)]=>[(1,9),(2,3),(4,6),(5,7),(8,10)]=>{{1,9},{2,3},{4,6},{5,7},{8,10}}
[(1,4),(2,7),(3,6),(5,10),(8,9)]=>[(1,9),(2,6),(3,4),(5,7),(8,10)]=>{{1,9},{2,6},{3,4},{5,7},{8,10}}
[(1,5),(2,7),(3,6),(4,10),(8,9)]=>[(1,9),(2,6),(3,7),(4,5),(8,10)]=>{{1,9},{2,6},{3,7},{4,5},{8,10}}
[(1,6),(2,7),(3,5),(4,10),(8,9)]=>[(1,9),(2,5),(3,7),(4,6),(8,10)]=>{{1,9},{2,5},{3,7},{4,6},{8,10}}
[(1,7),(2,6),(3,5),(4,10),(8,9)]=>[(1,9),(2,5),(3,6),(4,7),(8,10)]=>{{1,9},{2,5},{3,6},{4,7},{8,10}}
[(1,8),(2,6),(3,5),(4,10),(7,9)]=>[(1,9),(2,5),(3,6),(4,10),(7,8)]=>{{1,9},{2,5},{3,6},{4,10},{7,8}}
[(1,9),(2,6),(3,5),(4,10),(7,8)]=>[(1,8),(2,5),(3,6),(4,10),(7,9)]=>{{1,8},{2,5},{3,6},{4,10},{7,9}}
[(1,10),(2,6),(3,5),(4,9),(7,8)]=>[(1,8),(2,5),(3,6),(4,9),(7,10)]=>{{1,8},{2,5},{3,6},{4,9},{7,10}}
[(1,10),(2,5),(3,6),(4,9),(7,8)]=>[(1,8),(2,6),(3,5),(4,9),(7,10)]=>{{1,8},{2,6},{3,5},{4,9},{7,10}}
[(1,9),(2,5),(3,6),(4,10),(7,8)]=>[(1,8),(2,6),(3,5),(4,10),(7,9)]=>{{1,8},{2,6},{3,5},{4,10},{7,9}}
[(1,8),(2,5),(3,6),(4,10),(7,9)]=>[(1,9),(2,6),(3,5),(4,10),(7,8)]=>{{1,9},{2,6},{3,5},{4,10},{7,8}}
[(1,7),(2,5),(3,6),(4,10),(8,9)]=>[(1,9),(2,6),(3,5),(4,7),(8,10)]=>{{1,9},{2,6},{3,5},{4,7},{8,10}}
[(1,6),(2,5),(3,7),(4,10),(8,9)]=>[(1,9),(2,7),(3,5),(4,6),(8,10)]=>{{1,9},{2,7},{3,5},{4,6},{8,10}}
[(1,5),(2,6),(3,7),(4,10),(8,9)]=>[(1,9),(2,7),(3,6),(4,5),(8,10)]=>{{1,9},{2,7},{3,6},{4,5},{8,10}}
[(1,4),(2,6),(3,7),(5,10),(8,9)]=>[(1,9),(2,7),(3,4),(5,6),(8,10)]=>{{1,9},{2,7},{3,4},{5,6},{8,10}}
[(1,3),(2,6),(4,7),(5,10),(8,9)]=>[(1,9),(2,3),(4,7),(5,6),(8,10)]=>{{1,9},{2,3},{4,7},{5,6},{8,10}}
[(1,2),(3,6),(4,7),(5,10),(8,9)]=>[(1,2),(3,9),(4,7),(5,6),(8,10)]=>{{1,2},{3,9},{4,7},{5,6},{8,10}}
[(1,2),(3,5),(4,7),(6,10),(8,9)]=>[(1,2),(3,9),(4,5),(6,7),(8,10)]=>{{1,2},{3,9},{4,5},{6,7},{8,10}}
[(1,3),(2,5),(4,7),(6,10),(8,9)]=>[(1,9),(2,3),(4,5),(6,7),(8,10)]=>{{1,9},{2,3},{4,5},{6,7},{8,10}}
[(1,4),(2,5),(3,7),(6,10),(8,9)]=>[(1,9),(2,5),(3,4),(6,7),(8,10)]=>{{1,9},{2,5},{3,4},{6,7},{8,10}}
[(1,5),(2,4),(3,7),(6,10),(8,9)]=>[(1,9),(2,4),(3,5),(6,7),(8,10)]=>{{1,9},{2,4},{3,5},{6,7},{8,10}}
[(1,6),(2,4),(3,7),(5,10),(8,9)]=>[(1,9),(2,4),(3,7),(5,6),(8,10)]=>{{1,9},{2,4},{3,7},{5,6},{8,10}}
[(1,7),(2,4),(3,6),(5,10),(8,9)]=>[(1,9),(2,4),(3,6),(5,7),(8,10)]=>{{1,9},{2,4},{3,6},{5,7},{8,10}}
[(1,8),(2,4),(3,6),(5,10),(7,9)]=>[(1,9),(2,4),(3,6),(5,10),(7,8)]=>{{1,9},{2,4},{3,6},{5,10},{7,8}}
[(1,9),(2,4),(3,6),(5,10),(7,8)]=>[(1,8),(2,4),(3,6),(5,10),(7,9)]=>{{1,8},{2,4},{3,6},{5,10},{7,9}}
[(1,10),(2,4),(3,6),(5,9),(7,8)]=>[(1,8),(2,4),(3,6),(5,9),(7,10)]=>{{1,8},{2,4},{3,6},{5,9},{7,10}}
[(1,10),(2,3),(4,6),(5,9),(7,8)]=>[(1,3),(2,8),(4,6),(5,9),(7,10)]=>{{1,3},{2,8},{4,6},{5,9},{7,10}}
[(1,9),(2,3),(4,6),(5,10),(7,8)]=>[(1,3),(2,8),(4,6),(5,10),(7,9)]=>{{1,3},{2,8},{4,6},{5,10},{7,9}}
[(1,8),(2,3),(4,6),(5,10),(7,9)]=>[(1,3),(2,9),(4,6),(5,10),(7,8)]=>{{1,3},{2,9},{4,6},{5,10},{7,8}}
[(1,7),(2,3),(4,6),(5,10),(8,9)]=>[(1,3),(2,9),(4,6),(5,7),(8,10)]=>{{1,3},{2,9},{4,6},{5,7},{8,10}}
[(1,6),(2,3),(4,7),(5,10),(8,9)]=>[(1,3),(2,9),(4,7),(5,6),(8,10)]=>{{1,3},{2,9},{4,7},{5,6},{8,10}}
[(1,5),(2,3),(4,7),(6,10),(8,9)]=>[(1,3),(2,9),(4,5),(6,7),(8,10)]=>{{1,3},{2,9},{4,5},{6,7},{8,10}}
[(1,4),(2,3),(5,7),(6,10),(8,9)]=>[(1,3),(2,4),(5,9),(6,7),(8,10)]=>{{1,3},{2,4},{5,9},{6,7},{8,10}}
[(1,3),(2,4),(5,7),(6,10),(8,9)]=>[(1,4),(2,3),(5,9),(6,7),(8,10)]=>{{1,4},{2,3},{5,9},{6,7},{8,10}}
[(1,2),(3,4),(5,7),(6,10),(8,9)]=>[(1,2),(3,4),(5,9),(6,7),(8,10)]=>{{1,2},{3,4},{5,9},{6,7},{8,10}}
[(1,2),(3,4),(5,8),(6,10),(7,9)]=>[(1,2),(3,4),(5,9),(6,10),(7,8)]=>{{1,2},{3,4},{5,9},{6,10},{7,8}}
[(1,3),(2,4),(5,8),(6,10),(7,9)]=>[(1,4),(2,3),(5,9),(6,10),(7,8)]=>{{1,4},{2,3},{5,9},{6,10},{7,8}}
[(1,4),(2,3),(5,8),(6,10),(7,9)]=>[(1,3),(2,4),(5,9),(6,10),(7,8)]=>{{1,3},{2,4},{5,9},{6,10},{7,8}}
[(1,5),(2,3),(4,8),(6,10),(7,9)]=>[(1,3),(2,9),(4,5),(6,10),(7,8)]=>{{1,3},{2,9},{4,5},{6,10},{7,8}}
[(1,6),(2,3),(4,8),(5,10),(7,9)]=>[(1,3),(2,9),(4,10),(5,6),(7,8)]=>{{1,3},{2,9},{4,10},{5,6},{7,8}}
[(1,7),(2,3),(4,8),(5,10),(6,9)]=>[(1,3),(2,9),(4,10),(5,8),(6,7)]=>{{1,3},{2,9},{4,10},{5,8},{6,7}}
[(1,8),(2,3),(4,7),(5,10),(6,9)]=>[(1,3),(2,9),(4,10),(5,7),(6,8)]=>{{1,3},{2,9},{4,10},{5,7},{6,8}}
[(1,9),(2,3),(4,7),(5,10),(6,8)]=>[(1,3),(2,8),(4,10),(5,7),(6,9)]=>{{1,3},{2,8},{4,10},{5,7},{6,9}}
[(1,10),(2,3),(4,7),(5,9),(6,8)]=>[(1,3),(2,8),(4,9),(5,7),(6,10)]=>{{1,3},{2,8},{4,9},{5,7},{6,10}}
[(1,10),(2,4),(3,7),(5,9),(6,8)]=>[(1,8),(2,4),(3,9),(5,7),(6,10)]=>{{1,8},{2,4},{3,9},{5,7},{6,10}}
[(1,9),(2,4),(3,7),(5,10),(6,8)]=>[(1,8),(2,4),(3,10),(5,7),(6,9)]=>{{1,8},{2,4},{3,10},{5,7},{6,9}}
[(1,8),(2,4),(3,7),(5,10),(6,9)]=>[(1,9),(2,4),(3,10),(5,7),(6,8)]=>{{1,9},{2,4},{3,10},{5,7},{6,8}}
[(1,7),(2,4),(3,8),(5,10),(6,9)]=>[(1,9),(2,4),(3,10),(5,8),(6,7)]=>{{1,9},{2,4},{3,10},{5,8},{6,7}}
[(1,6),(2,4),(3,8),(5,10),(7,9)]=>[(1,9),(2,4),(3,10),(5,6),(7,8)]=>{{1,9},{2,4},{3,10},{5,6},{7,8}}
[(1,5),(2,4),(3,8),(6,10),(7,9)]=>[(1,9),(2,4),(3,5),(6,10),(7,8)]=>{{1,9},{2,4},{3,5},{6,10},{7,8}}
[(1,4),(2,5),(3,8),(6,10),(7,9)]=>[(1,9),(2,5),(3,4),(6,10),(7,8)]=>{{1,9},{2,5},{3,4},{6,10},{7,8}}
[(1,3),(2,5),(4,8),(6,10),(7,9)]=>[(1,9),(2,3),(4,5),(6,10),(7,8)]=>{{1,9},{2,3},{4,5},{6,10},{7,8}}
[(1,2),(3,5),(4,8),(6,10),(7,9)]=>[(1,2),(3,9),(4,5),(6,10),(7,8)]=>{{1,2},{3,9},{4,5},{6,10},{7,8}}
[(1,2),(3,6),(4,8),(5,10),(7,9)]=>[(1,2),(3,9),(4,10),(5,6),(7,8)]=>{{1,2},{3,9},{4,10},{5,6},{7,8}}
[(1,3),(2,6),(4,8),(5,10),(7,9)]=>[(1,9),(2,3),(4,10),(5,6),(7,8)]=>{{1,9},{2,3},{4,10},{5,6},{7,8}}
[(1,4),(2,6),(3,8),(5,10),(7,9)]=>[(1,9),(2,10),(3,4),(5,6),(7,8)]=>{{1,9},{2,10},{3,4},{5,6},{7,8}}
[(1,5),(2,6),(3,8),(4,10),(7,9)]=>[(1,9),(2,10),(3,6),(4,5),(7,8)]=>{{1,9},{2,10},{3,6},{4,5},{7,8}}
[(1,6),(2,5),(3,8),(4,10),(7,9)]=>[(1,9),(2,10),(3,5),(4,6),(7,8)]=>{{1,9},{2,10},{3,5},{4,6},{7,8}}
[(1,7),(2,5),(3,8),(4,10),(6,9)]=>[(1,9),(2,10),(3,5),(4,8),(6,7)]=>{{1,9},{2,10},{3,5},{4,8},{6,7}}
[(1,8),(2,5),(3,7),(4,10),(6,9)]=>[(1,9),(2,10),(3,5),(4,7),(6,8)]=>{{1,9},{2,10},{3,5},{4,7},{6,8}}
[(1,9),(2,5),(3,7),(4,10),(6,8)]=>[(1,8),(2,10),(3,5),(4,7),(6,9)]=>{{1,8},{2,10},{3,5},{4,7},{6,9}}
[(1,10),(2,5),(3,7),(4,9),(6,8)]=>[(1,8),(2,9),(3,5),(4,7),(6,10)]=>{{1,8},{2,9},{3,5},{4,7},{6,10}}
[(1,10),(2,6),(3,7),(4,9),(5,8)]=>[(1,8),(2,9),(3,7),(4,6),(5,10)]=>{{1,8},{2,9},{3,7},{4,6},{5,10}}
[(1,9),(2,6),(3,7),(4,10),(5,8)]=>[(1,8),(2,10),(3,7),(4,6),(5,9)]=>{{1,8},{2,10},{3,7},{4,6},{5,9}}
[(1,8),(2,6),(3,7),(4,10),(5,9)]=>[(1,9),(2,10),(3,7),(4,6),(5,8)]=>{{1,9},{2,10},{3,7},{4,6},{5,8}}
[(1,7),(2,6),(3,8),(4,10),(5,9)]=>[(1,9),(2,10),(3,8),(4,6),(5,7)]=>{{1,9},{2,10},{3,8},{4,6},{5,7}}
[(1,6),(2,7),(3,8),(4,10),(5,9)]=>[(1,9),(2,10),(3,8),(4,7),(5,6)]=>{{1,9},{2,10},{3,8},{4,7},{5,6}}
[(1,5),(2,7),(3,8),(4,10),(6,9)]=>[(1,9),(2,10),(3,8),(4,5),(6,7)]=>{{1,9},{2,10},{3,8},{4,5},{6,7}}
[(1,4),(2,7),(3,8),(5,10),(6,9)]=>[(1,9),(2,10),(3,4),(5,8),(6,7)]=>{{1,9},{2,10},{3,4},{5,8},{6,7}}
[(1,3),(2,7),(4,8),(5,10),(6,9)]=>[(1,9),(2,3),(4,10),(5,8),(6,7)]=>{{1,9},{2,3},{4,10},{5,8},{6,7}}
[(1,2),(3,7),(4,8),(5,10),(6,9)]=>[(1,2),(3,9),(4,10),(5,8),(6,7)]=>{{1,2},{3,9},{4,10},{5,8},{6,7}}
[(1,2),(3,8),(4,7),(5,10),(6,9)]=>[(1,2),(3,9),(4,10),(5,7),(6,8)]=>{{1,2},{3,9},{4,10},{5,7},{6,8}}
[(1,3),(2,8),(4,7),(5,10),(6,9)]=>[(1,9),(2,3),(4,10),(5,7),(6,8)]=>{{1,9},{2,3},{4,10},{5,7},{6,8}}
[(1,4),(2,8),(3,7),(5,10),(6,9)]=>[(1,9),(2,10),(3,4),(5,7),(6,8)]=>{{1,9},{2,10},{3,4},{5,7},{6,8}}
[(1,5),(2,8),(3,7),(4,10),(6,9)]=>[(1,9),(2,10),(3,7),(4,5),(6,8)]=>{{1,9},{2,10},{3,7},{4,5},{6,8}}
[(1,6),(2,8),(3,7),(4,10),(5,9)]=>[(1,9),(2,10),(3,7),(4,8),(5,6)]=>{{1,9},{2,10},{3,7},{4,8},{5,6}}
[(1,7),(2,8),(3,6),(4,10),(5,9)]=>[(1,9),(2,10),(3,6),(4,8),(5,7)]=>{{1,9},{2,10},{3,6},{4,8},{5,7}}
[(1,8),(2,7),(3,6),(4,10),(5,9)]=>[(1,9),(2,10),(3,6),(4,7),(5,8)]=>{{1,9},{2,10},{3,6},{4,7},{5,8}}
[(1,9),(2,7),(3,6),(4,10),(5,8)]=>[(1,8),(2,10),(3,6),(4,7),(5,9)]=>{{1,8},{2,10},{3,6},{4,7},{5,9}}
[(1,10),(2,7),(3,6),(4,9),(5,8)]=>[(1,8),(2,9),(3,6),(4,7),(5,10)]=>{{1,8},{2,9},{3,6},{4,7},{5,10}}
[(1,10),(2,8),(3,6),(4,9),(5,7)]=>[(1,7),(2,9),(3,6),(4,8),(5,10)]=>{{1,7},{2,9},{3,6},{4,8},{5,10}}
[(1,9),(2,8),(3,6),(4,10),(5,7)]=>[(1,7),(2,10),(3,6),(4,8),(5,9)]=>{{1,7},{2,10},{3,6},{4,8},{5,9}}
[(1,8),(2,9),(3,6),(4,10),(5,7)]=>[(1,7),(2,10),(3,6),(4,9),(5,8)]=>{{1,7},{2,10},{3,6},{4,9},{5,8}}
[(1,7),(2,9),(3,6),(4,10),(5,8)]=>[(1,8),(2,10),(3,6),(4,9),(5,7)]=>{{1,8},{2,10},{3,6},{4,9},{5,7}}
[(1,6),(2,9),(3,7),(4,10),(5,8)]=>[(1,8),(2,10),(3,7),(4,9),(5,6)]=>{{1,8},{2,10},{3,7},{4,9},{5,6}}
[(1,5),(2,9),(3,7),(4,10),(6,8)]=>[(1,8),(2,10),(3,7),(4,5),(6,9)]=>{{1,8},{2,10},{3,7},{4,5},{6,9}}
[(1,4),(2,9),(3,7),(5,10),(6,8)]=>[(1,8),(2,10),(3,4),(5,7),(6,9)]=>{{1,8},{2,10},{3,4},{5,7},{6,9}}
[(1,3),(2,9),(4,7),(5,10),(6,8)]=>[(1,8),(2,3),(4,10),(5,7),(6,9)]=>{{1,8},{2,3},{4,10},{5,7},{6,9}}
[(1,2),(3,9),(4,7),(5,10),(6,8)]=>[(1,2),(3,8),(4,10),(5,7),(6,9)]=>{{1,2},{3,8},{4,10},{5,7},{6,9}}
[(1,2),(3,10),(4,7),(5,9),(6,8)]=>[(1,2),(3,8),(4,9),(5,7),(6,10)]=>{{1,2},{3,8},{4,9},{5,7},{6,10}}
[(1,3),(2,10),(4,7),(5,9),(6,8)]=>[(1,8),(2,3),(4,9),(5,7),(6,10)]=>{{1,8},{2,3},{4,9},{5,7},{6,10}}
[(1,4),(2,10),(3,7),(5,9),(6,8)]=>[(1,8),(2,9),(3,4),(5,7),(6,10)]=>{{1,8},{2,9},{3,4},{5,7},{6,10}}
[(1,5),(2,10),(3,7),(4,9),(6,8)]=>[(1,8),(2,9),(3,7),(4,5),(6,10)]=>{{1,8},{2,9},{3,7},{4,5},{6,10}}
[(1,6),(2,10),(3,7),(4,9),(5,8)]=>[(1,8),(2,9),(3,7),(4,10),(5,6)]=>{{1,8},{2,9},{3,7},{4,10},{5,6}}
[(1,7),(2,10),(3,6),(4,9),(5,8)]=>[(1,8),(2,9),(3,6),(4,10),(5,7)]=>{{1,8},{2,9},{3,6},{4,10},{5,7}}
[(1,8),(2,10),(3,6),(4,9),(5,7)]=>[(1,7),(2,9),(3,6),(4,10),(5,8)]=>{{1,7},{2,9},{3,6},{4,10},{5,8}}
[(1,9),(2,10),(3,6),(4,8),(5,7)]=>[(1,7),(2,8),(3,6),(4,10),(5,9)]=>{{1,7},{2,8},{3,6},{4,10},{5,9}}
[(1,10),(2,9),(3,6),(4,8),(5,7)]=>[(1,7),(2,8),(3,6),(4,9),(5,10)]=>{{1,7},{2,8},{3,6},{4,9},{5,10}}
[(1,10),(2,9),(3,7),(4,8),(5,6)]=>[(1,6),(2,8),(3,7),(4,9),(5,10)]=>{{1,6},{2,8},{3,7},{4,9},{5,10}}
[(1,9),(2,10),(3,7),(4,8),(5,6)]=>[(1,6),(2,8),(3,7),(4,10),(5,9)]=>{{1,6},{2,8},{3,7},{4,10},{5,9}}
[(1,8),(2,10),(3,7),(4,9),(5,6)]=>[(1,6),(2,9),(3,7),(4,10),(5,8)]=>{{1,6},{2,9},{3,7},{4,10},{5,8}}
[(1,7),(2,10),(3,8),(4,9),(5,6)]=>[(1,6),(2,9),(3,8),(4,10),(5,7)]=>{{1,6},{2,9},{3,8},{4,10},{5,7}}
[(1,6),(2,10),(3,8),(4,9),(5,7)]=>[(1,7),(2,9),(3,8),(4,10),(5,6)]=>{{1,7},{2,9},{3,8},{4,10},{5,6}}
[(1,5),(2,10),(3,8),(4,9),(6,7)]=>[(1,7),(2,9),(3,8),(4,5),(6,10)]=>{{1,7},{2,9},{3,8},{4,5},{6,10}}
[(1,4),(2,10),(3,8),(5,9),(6,7)]=>[(1,7),(2,9),(3,4),(5,8),(6,10)]=>{{1,7},{2,9},{3,4},{5,8},{6,10}}
[(1,3),(2,10),(4,8),(5,9),(6,7)]=>[(1,7),(2,3),(4,9),(5,8),(6,10)]=>{{1,7},{2,3},{4,9},{5,8},{6,10}}
[(1,2),(3,10),(4,8),(5,9),(6,7)]=>[(1,2),(3,7),(4,9),(5,8),(6,10)]=>{{1,2},{3,7},{4,9},{5,8},{6,10}}
[(1,2),(3,9),(4,8),(5,10),(6,7)]=>[(1,2),(3,7),(4,10),(5,8),(6,9)]=>{{1,2},{3,7},{4,10},{5,8},{6,9}}
[(1,3),(2,9),(4,8),(5,10),(6,7)]=>[(1,7),(2,3),(4,10),(5,8),(6,9)]=>{{1,7},{2,3},{4,10},{5,8},{6,9}}
[(1,4),(2,9),(3,8),(5,10),(6,7)]=>[(1,7),(2,10),(3,4),(5,8),(6,9)]=>{{1,7},{2,10},{3,4},{5,8},{6,9}}
[(1,5),(2,9),(3,8),(4,10),(6,7)]=>[(1,7),(2,10),(3,8),(4,5),(6,9)]=>{{1,7},{2,10},{3,8},{4,5},{6,9}}
[(1,6),(2,9),(3,8),(4,10),(5,7)]=>[(1,7),(2,10),(3,8),(4,9),(5,6)]=>{{1,7},{2,10},{3,8},{4,9},{5,6}}
[(1,7),(2,9),(3,8),(4,10),(5,6)]=>[(1,6),(2,10),(3,8),(4,9),(5,7)]=>{{1,6},{2,10},{3,8},{4,9},{5,7}}
[(1,8),(2,9),(3,7),(4,10),(5,6)]=>[(1,6),(2,10),(3,7),(4,9),(5,8)]=>{{1,6},{2,10},{3,7},{4,9},{5,8}}
[(1,9),(2,8),(3,7),(4,10),(5,6)]=>[(1,6),(2,10),(3,7),(4,8),(5,9)]=>{{1,6},{2,10},{3,7},{4,8},{5,9}}
[(1,10),(2,8),(3,7),(4,9),(5,6)]=>[(1,6),(2,9),(3,7),(4,8),(5,10)]=>{{1,6},{2,9},{3,7},{4,8},{5,10}}
[(1,10),(2,7),(3,8),(4,9),(5,6)]=>[(1,6),(2,9),(3,8),(4,7),(5,10)]=>{{1,6},{2,9},{3,8},{4,7},{5,10}}
[(1,9),(2,7),(3,8),(4,10),(5,6)]=>[(1,6),(2,10),(3,8),(4,7),(5,9)]=>{{1,6},{2,10},{3,8},{4,7},{5,9}}
[(1,8),(2,7),(3,9),(4,10),(5,6)]=>[(1,6),(2,10),(3,9),(4,7),(5,8)]=>{{1,6},{2,10},{3,9},{4,7},{5,8}}
[(1,7),(2,8),(3,9),(4,10),(5,6)]=>[(1,6),(2,10),(3,9),(4,8),(5,7)]=>{{1,6},{2,10},{3,9},{4,8},{5,7}}
[(1,6),(2,8),(3,9),(4,10),(5,7)]=>[(1,7),(2,10),(3,9),(4,8),(5,6)]=>{{1,7},{2,10},{3,9},{4,8},{5,6}}
[(1,5),(2,8),(3,9),(4,10),(6,7)]=>[(1,7),(2,10),(3,9),(4,5),(6,8)]=>{{1,7},{2,10},{3,9},{4,5},{6,8}}
[(1,4),(2,8),(3,9),(5,10),(6,7)]=>[(1,7),(2,10),(3,4),(5,9),(6,8)]=>{{1,7},{2,10},{3,4},{5,9},{6,8}}
[(1,3),(2,8),(4,9),(5,10),(6,7)]=>[(1,7),(2,3),(4,10),(5,9),(6,8)]=>{{1,7},{2,3},{4,10},{5,9},{6,8}}
[(1,2),(3,8),(4,9),(5,10),(6,7)]=>[(1,2),(3,7),(4,10),(5,9),(6,8)]=>{{1,2},{3,7},{4,10},{5,9},{6,8}}
[(1,2),(3,7),(4,9),(5,10),(6,8)]=>[(1,2),(3,8),(4,10),(5,9),(6,7)]=>{{1,2},{3,8},{4,10},{5,9},{6,7}}
[(1,3),(2,7),(4,9),(5,10),(6,8)]=>[(1,8),(2,3),(4,10),(5,9),(6,7)]=>{{1,8},{2,3},{4,10},{5,9},{6,7}}
[(1,4),(2,7),(3,9),(5,10),(6,8)]=>[(1,8),(2,10),(3,4),(5,9),(6,7)]=>{{1,8},{2,10},{3,4},{5,9},{6,7}}
[(1,5),(2,7),(3,9),(4,10),(6,8)]=>[(1,8),(2,10),(3,9),(4,5),(6,7)]=>{{1,8},{2,10},{3,9},{4,5},{6,7}}
[(1,6),(2,7),(3,9),(4,10),(5,8)]=>[(1,8),(2,10),(3,9),(4,7),(5,6)]=>{{1,8},{2,10},{3,9},{4,7},{5,6}}
[(1,7),(2,6),(3,9),(4,10),(5,8)]=>[(1,8),(2,10),(3,9),(4,6),(5,7)]=>{{1,8},{2,10},{3,9},{4,6},{5,7}}
[(1,8),(2,6),(3,9),(4,10),(5,7)]=>[(1,7),(2,10),(3,9),(4,6),(5,8)]=>{{1,7},{2,10},{3,9},{4,6},{5,8}}
[(1,9),(2,6),(3,8),(4,10),(5,7)]=>[(1,7),(2,10),(3,8),(4,6),(5,9)]=>{{1,7},{2,10},{3,8},{4,6},{5,9}}
[(1,10),(2,6),(3,8),(4,9),(5,7)]=>[(1,7),(2,9),(3,8),(4,6),(5,10)]=>{{1,7},{2,9},{3,8},{4,6},{5,10}}
[(1,10),(2,5),(3,8),(4,9),(6,7)]=>[(1,7),(2,9),(3,5),(4,8),(6,10)]=>{{1,7},{2,9},{3,5},{4,8},{6,10}}
[(1,9),(2,5),(3,8),(4,10),(6,7)]=>[(1,7),(2,10),(3,5),(4,8),(6,9)]=>{{1,7},{2,10},{3,5},{4,8},{6,9}}
[(1,8),(2,5),(3,9),(4,10),(6,7)]=>[(1,7),(2,10),(3,5),(4,9),(6,8)]=>{{1,7},{2,10},{3,5},{4,9},{6,8}}
[(1,7),(2,5),(3,9),(4,10),(6,8)]=>[(1,8),(2,10),(3,5),(4,9),(6,7)]=>{{1,8},{2,10},{3,5},{4,9},{6,7}}
[(1,6),(2,5),(3,9),(4,10),(7,8)]=>[(1,8),(2,10),(3,5),(4,6),(7,9)]=>{{1,8},{2,10},{3,5},{4,6},{7,9}}
[(1,5),(2,6),(3,9),(4,10),(7,8)]=>[(1,8),(2,10),(3,6),(4,5),(7,9)]=>{{1,8},{2,10},{3,6},{4,5},{7,9}}
[(1,4),(2,6),(3,9),(5,10),(7,8)]=>[(1,8),(2,10),(3,4),(5,6),(7,9)]=>{{1,8},{2,10},{3,4},{5,6},{7,9}}
[(1,3),(2,6),(4,9),(5,10),(7,8)]=>[(1,8),(2,3),(4,10),(5,6),(7,9)]=>{{1,8},{2,3},{4,10},{5,6},{7,9}}
[(1,2),(3,6),(4,9),(5,10),(7,8)]=>[(1,2),(3,8),(4,10),(5,6),(7,9)]=>{{1,2},{3,8},{4,10},{5,6},{7,9}}
[(1,2),(3,5),(4,9),(6,10),(7,8)]=>[(1,2),(3,8),(4,5),(6,10),(7,9)]=>{{1,2},{3,8},{4,5},{6,10},{7,9}}
[(1,3),(2,5),(4,9),(6,10),(7,8)]=>[(1,8),(2,3),(4,5),(6,10),(7,9)]=>{{1,8},{2,3},{4,5},{6,10},{7,9}}
[(1,4),(2,5),(3,9),(6,10),(7,8)]=>[(1,8),(2,5),(3,4),(6,10),(7,9)]=>{{1,8},{2,5},{3,4},{6,10},{7,9}}
[(1,5),(2,4),(3,9),(6,10),(7,8)]=>[(1,8),(2,4),(3,5),(6,10),(7,9)]=>{{1,8},{2,4},{3,5},{6,10},{7,9}}
[(1,6),(2,4),(3,9),(5,10),(7,8)]=>[(1,8),(2,4),(3,10),(5,6),(7,9)]=>{{1,8},{2,4},{3,10},{5,6},{7,9}}
[(1,7),(2,4),(3,9),(5,10),(6,8)]=>[(1,8),(2,4),(3,10),(5,9),(6,7)]=>{{1,8},{2,4},{3,10},{5,9},{6,7}}
[(1,8),(2,4),(3,9),(5,10),(6,7)]=>[(1,7),(2,4),(3,10),(5,9),(6,8)]=>{{1,7},{2,4},{3,10},{5,9},{6,8}}
[(1,9),(2,4),(3,8),(5,10),(6,7)]=>[(1,7),(2,4),(3,10),(5,8),(6,9)]=>{{1,7},{2,4},{3,10},{5,8},{6,9}}
[(1,10),(2,4),(3,8),(5,9),(6,7)]=>[(1,7),(2,4),(3,9),(5,8),(6,10)]=>{{1,7},{2,4},{3,9},{5,8},{6,10}}
[(1,10),(2,3),(4,8),(5,9),(6,7)]=>[(1,3),(2,7),(4,9),(5,8),(6,10)]=>{{1,3},{2,7},{4,9},{5,8},{6,10}}
[(1,9),(2,3),(4,8),(5,10),(6,7)]=>[(1,3),(2,7),(4,10),(5,8),(6,9)]=>{{1,3},{2,7},{4,10},{5,8},{6,9}}
[(1,8),(2,3),(4,9),(5,10),(6,7)]=>[(1,3),(2,7),(4,10),(5,9),(6,8)]=>{{1,3},{2,7},{4,10},{5,9},{6,8}}
[(1,7),(2,3),(4,9),(5,10),(6,8)]=>[(1,3),(2,8),(4,10),(5,9),(6,7)]=>{{1,3},{2,8},{4,10},{5,9},{6,7}}
[(1,6),(2,3),(4,9),(5,10),(7,8)]=>[(1,3),(2,8),(4,10),(5,6),(7,9)]=>{{1,3},{2,8},{4,10},{5,6},{7,9}}
[(1,5),(2,3),(4,9),(6,10),(7,8)]=>[(1,3),(2,8),(4,5),(6,10),(7,9)]=>{{1,3},{2,8},{4,5},{6,10},{7,9}}
[(1,4),(2,3),(5,9),(6,10),(7,8)]=>[(1,3),(2,4),(5,8),(6,10),(7,9)]=>{{1,3},{2,4},{5,8},{6,10},{7,9}}
[(1,3),(2,4),(5,9),(6,10),(7,8)]=>[(1,4),(2,3),(5,8),(6,10),(7,9)]=>{{1,4},{2,3},{5,8},{6,10},{7,9}}
[(1,2),(3,4),(5,9),(6,10),(7,8)]=>[(1,2),(3,4),(5,8),(6,10),(7,9)]=>{{1,2},{3,4},{5,8},{6,10},{7,9}}
[(1,2),(3,4),(5,10),(6,9),(7,8)]=>[(1,2),(3,4),(5,8),(6,9),(7,10)]=>{{1,2},{3,4},{5,8},{6,9},{7,10}}
[(1,3),(2,4),(5,10),(6,9),(7,8)]=>[(1,4),(2,3),(5,8),(6,9),(7,10)]=>{{1,4},{2,3},{5,8},{6,9},{7,10}}
[(1,4),(2,3),(5,10),(6,9),(7,8)]=>[(1,3),(2,4),(5,8),(6,9),(7,10)]=>{{1,3},{2,4},{5,8},{6,9},{7,10}}
[(1,5),(2,3),(4,10),(6,9),(7,8)]=>[(1,3),(2,8),(4,5),(6,9),(7,10)]=>{{1,3},{2,8},{4,5},{6,9},{7,10}}
[(1,6),(2,3),(4,10),(5,9),(7,8)]=>[(1,3),(2,8),(4,9),(5,6),(7,10)]=>{{1,3},{2,8},{4,9},{5,6},{7,10}}
[(1,7),(2,3),(4,10),(5,9),(6,8)]=>[(1,3),(2,8),(4,9),(5,10),(6,7)]=>{{1,3},{2,8},{4,9},{5,10},{6,7}}
[(1,8),(2,3),(4,10),(5,9),(6,7)]=>[(1,3),(2,7),(4,9),(5,10),(6,8)]=>{{1,3},{2,7},{4,9},{5,10},{6,8}}
[(1,9),(2,3),(4,10),(5,8),(6,7)]=>[(1,3),(2,7),(4,8),(5,10),(6,9)]=>{{1,3},{2,7},{4,8},{5,10},{6,9}}
[(1,10),(2,3),(4,9),(5,8),(6,7)]=>[(1,3),(2,7),(4,8),(5,9),(6,10)]=>{{1,3},{2,7},{4,8},{5,9},{6,10}}
[(1,10),(2,4),(3,9),(5,8),(6,7)]=>[(1,7),(2,4),(3,8),(5,9),(6,10)]=>{{1,7},{2,4},{3,8},{5,9},{6,10}}
[(1,9),(2,4),(3,10),(5,8),(6,7)]=>[(1,7),(2,4),(3,8),(5,10),(6,9)]=>{{1,7},{2,4},{3,8},{5,10},{6,9}}
[(1,8),(2,4),(3,10),(5,9),(6,7)]=>[(1,7),(2,4),(3,9),(5,10),(6,8)]=>{{1,7},{2,4},{3,9},{5,10},{6,8}}
[(1,7),(2,4),(3,10),(5,9),(6,8)]=>[(1,8),(2,4),(3,9),(5,10),(6,7)]=>{{1,8},{2,4},{3,9},{5,10},{6,7}}
[(1,6),(2,4),(3,10),(5,9),(7,8)]=>[(1,8),(2,4),(3,9),(5,6),(7,10)]=>{{1,8},{2,4},{3,9},{5,6},{7,10}}
[(1,5),(2,4),(3,10),(6,9),(7,8)]=>[(1,8),(2,4),(3,5),(6,9),(7,10)]=>{{1,8},{2,4},{3,5},{6,9},{7,10}}
[(1,4),(2,5),(3,10),(6,9),(7,8)]=>[(1,8),(2,5),(3,4),(6,9),(7,10)]=>{{1,8},{2,5},{3,4},{6,9},{7,10}}
[(1,3),(2,5),(4,10),(6,9),(7,8)]=>[(1,8),(2,3),(4,5),(6,9),(7,10)]=>{{1,8},{2,3},{4,5},{6,9},{7,10}}
[(1,2),(3,5),(4,10),(6,9),(7,8)]=>[(1,2),(3,8),(4,5),(6,9),(7,10)]=>{{1,2},{3,8},{4,5},{6,9},{7,10}}
[(1,2),(3,6),(4,10),(5,9),(7,8)]=>[(1,2),(3,8),(4,9),(5,6),(7,10)]=>{{1,2},{3,8},{4,9},{5,6},{7,10}}
[(1,3),(2,6),(4,10),(5,9),(7,8)]=>[(1,8),(2,3),(4,9),(5,6),(7,10)]=>{{1,8},{2,3},{4,9},{5,6},{7,10}}
[(1,4),(2,6),(3,10),(5,9),(7,8)]=>[(1,8),(2,9),(3,4),(5,6),(7,10)]=>{{1,8},{2,9},{3,4},{5,6},{7,10}}
[(1,5),(2,6),(3,10),(4,9),(7,8)]=>[(1,8),(2,9),(3,6),(4,5),(7,10)]=>{{1,8},{2,9},{3,6},{4,5},{7,10}}
[(1,6),(2,5),(3,10),(4,9),(7,8)]=>[(1,8),(2,9),(3,5),(4,6),(7,10)]=>{{1,8},{2,9},{3,5},{4,6},{7,10}}
[(1,7),(2,5),(3,10),(4,9),(6,8)]=>[(1,8),(2,9),(3,5),(4,10),(6,7)]=>{{1,8},{2,9},{3,5},{4,10},{6,7}}
[(1,8),(2,5),(3,10),(4,9),(6,7)]=>[(1,7),(2,9),(3,5),(4,10),(6,8)]=>{{1,7},{2,9},{3,5},{4,10},{6,8}}
[(1,9),(2,5),(3,10),(4,8),(6,7)]=>[(1,7),(2,8),(3,5),(4,10),(6,9)]=>{{1,7},{2,8},{3,5},{4,10},{6,9}}
[(1,10),(2,5),(3,9),(4,8),(6,7)]=>[(1,7),(2,8),(3,5),(4,9),(6,10)]=>{{1,7},{2,8},{3,5},{4,9},{6,10}}
[(1,10),(2,6),(3,9),(4,8),(5,7)]=>[(1,7),(2,8),(3,9),(4,6),(5,10)]=>{{1,7},{2,8},{3,9},{4,6},{5,10}}
[(1,9),(2,6),(3,10),(4,8),(5,7)]=>[(1,7),(2,8),(3,10),(4,6),(5,9)]=>{{1,7},{2,8},{3,10},{4,6},{5,9}}
[(1,8),(2,6),(3,10),(4,9),(5,7)]=>[(1,7),(2,9),(3,10),(4,6),(5,8)]=>{{1,7},{2,9},{3,10},{4,6},{5,8}}
[(1,7),(2,6),(3,10),(4,9),(5,8)]=>[(1,8),(2,9),(3,10),(4,6),(5,7)]=>{{1,8},{2,9},{3,10},{4,6},{5,7}}
[(1,6),(2,7),(3,10),(4,9),(5,8)]=>[(1,8),(2,9),(3,10),(4,7),(5,6)]=>{{1,8},{2,9},{3,10},{4,7},{5,6}}
[(1,5),(2,7),(3,10),(4,9),(6,8)]=>[(1,8),(2,9),(3,10),(4,5),(6,7)]=>{{1,8},{2,9},{3,10},{4,5},{6,7}}
[(1,4),(2,7),(3,10),(5,9),(6,8)]=>[(1,8),(2,9),(3,4),(5,10),(6,7)]=>{{1,8},{2,9},{3,4},{5,10},{6,7}}
[(1,3),(2,7),(4,10),(5,9),(6,8)]=>[(1,8),(2,3),(4,9),(5,10),(6,7)]=>{{1,8},{2,3},{4,9},{5,10},{6,7}}
[(1,2),(3,7),(4,10),(5,9),(6,8)]=>[(1,2),(3,8),(4,9),(5,10),(6,7)]=>{{1,2},{3,8},{4,9},{5,10},{6,7}}
[(1,2),(3,8),(4,10),(5,9),(6,7)]=>[(1,2),(3,7),(4,9),(5,10),(6,8)]=>{{1,2},{3,7},{4,9},{5,10},{6,8}}
[(1,3),(2,8),(4,10),(5,9),(6,7)]=>[(1,7),(2,3),(4,9),(5,10),(6,8)]=>{{1,7},{2,3},{4,9},{5,10},{6,8}}
[(1,4),(2,8),(3,10),(5,9),(6,7)]=>[(1,7),(2,9),(3,4),(5,10),(6,8)]=>{{1,7},{2,9},{3,4},{5,10},{6,8}}
[(1,5),(2,8),(3,10),(4,9),(6,7)]=>[(1,7),(2,9),(3,10),(4,5),(6,8)]=>{{1,7},{2,9},{3,10},{4,5},{6,8}}
[(1,6),(2,8),(3,10),(4,9),(5,7)]=>[(1,7),(2,9),(3,10),(4,8),(5,6)]=>{{1,7},{2,9},{3,10},{4,8},{5,6}}
[(1,7),(2,8),(3,10),(4,9),(5,6)]=>[(1,6),(2,9),(3,10),(4,8),(5,7)]=>{{1,6},{2,9},{3,10},{4,8},{5,7}}
[(1,8),(2,7),(3,10),(4,9),(5,6)]=>[(1,6),(2,9),(3,10),(4,7),(5,8)]=>{{1,6},{2,9},{3,10},{4,7},{5,8}}
[(1,9),(2,7),(3,10),(4,8),(5,6)]=>[(1,6),(2,8),(3,10),(4,7),(5,9)]=>{{1,6},{2,8},{3,10},{4,7},{5,9}}
[(1,10),(2,7),(3,9),(4,8),(5,6)]=>[(1,6),(2,8),(3,9),(4,7),(5,10)]=>{{1,6},{2,8},{3,9},{4,7},{5,10}}
[(1,10),(2,8),(3,9),(4,7),(5,6)]=>[(1,6),(2,7),(3,9),(4,8),(5,10)]=>{{1,6},{2,7},{3,9},{4,8},{5,10}}
[(1,9),(2,8),(3,10),(4,7),(5,6)]=>[(1,6),(2,7),(3,10),(4,8),(5,9)]=>{{1,6},{2,7},{3,10},{4,8},{5,9}}
[(1,8),(2,9),(3,10),(4,7),(5,6)]=>[(1,6),(2,7),(3,10),(4,9),(5,8)]=>{{1,6},{2,7},{3,10},{4,9},{5,8}}
[(1,7),(2,9),(3,10),(4,8),(5,6)]=>[(1,6),(2,8),(3,10),(4,9),(5,7)]=>{{1,6},{2,8},{3,10},{4,9},{5,7}}
[(1,6),(2,9),(3,10),(4,8),(5,7)]=>[(1,7),(2,8),(3,10),(4,9),(5,6)]=>{{1,7},{2,8},{3,10},{4,9},{5,6}}
[(1,5),(2,9),(3,10),(4,8),(6,7)]=>[(1,7),(2,8),(3,10),(4,5),(6,9)]=>{{1,7},{2,8},{3,10},{4,5},{6,9}}
[(1,4),(2,9),(3,10),(5,8),(6,7)]=>[(1,7),(2,8),(3,4),(5,10),(6,9)]=>{{1,7},{2,8},{3,4},{5,10},{6,9}}
[(1,3),(2,9),(4,10),(5,8),(6,7)]=>[(1,7),(2,3),(4,8),(5,10),(6,9)]=>{{1,7},{2,3},{4,8},{5,10},{6,9}}
[(1,2),(3,9),(4,10),(5,8),(6,7)]=>[(1,2),(3,7),(4,8),(5,10),(6,9)]=>{{1,2},{3,7},{4,8},{5,10},{6,9}}
[(1,2),(3,10),(4,9),(5,8),(6,7)]=>[(1,2),(3,7),(4,8),(5,9),(6,10)]=>{{1,2},{3,7},{4,8},{5,9},{6,10}}
[(1,3),(2,10),(4,9),(5,8),(6,7)]=>[(1,7),(2,3),(4,8),(5,9),(6,10)]=>{{1,7},{2,3},{4,8},{5,9},{6,10}}
[(1,4),(2,10),(3,9),(5,8),(6,7)]=>[(1,7),(2,8),(3,4),(5,9),(6,10)]=>{{1,7},{2,8},{3,4},{5,9},{6,10}}
[(1,5),(2,10),(3,9),(4,8),(6,7)]=>[(1,7),(2,8),(3,9),(4,5),(6,10)]=>{{1,7},{2,8},{3,9},{4,5},{6,10}}
[(1,6),(2,10),(3,9),(4,8),(5,7)]=>[(1,7),(2,8),(3,9),(4,10),(5,6)]=>{{1,7},{2,8},{3,9},{4,10},{5,6}}
[(1,7),(2,10),(3,9),(4,8),(5,6)]=>[(1,6),(2,8),(3,9),(4,10),(5,7)]=>{{1,6},{2,8},{3,9},{4,10},{5,7}}
[(1,8),(2,10),(3,9),(4,7),(5,6)]=>[(1,6),(2,7),(3,9),(4,10),(5,8)]=>{{1,6},{2,7},{3,9},{4,10},{5,8}}
[(1,9),(2,10),(3,8),(4,7),(5,6)]=>[(1,6),(2,7),(3,8),(4,10),(5,9)]=>{{1,6},{2,7},{3,8},{4,10},{5,9}}
[(1,10),(2,9),(3,8),(4,7),(5,6)]=>[(1,6),(2,7),(3,8),(4,9),(5,10)]=>{{1,6},{2,7},{3,8},{4,9},{5,10}}
[(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}}
Map
Kasraoui-Zeng
Description
The Kasraoui-Zeng involution for perfect matchings.
This yields the perfect matching with the number of nestings and crossings exchanged.
This yields the perfect matching with the number of nestings and crossings exchanged.
Map
to set partition
Description
Return the set partition corresponding to the perfect matching.
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