Identifier
Mp00116:
Perfect matchings
—Kasraoui-Zeng⟶
Perfect matchings
Mp00113: Perfect matchings —reverse⟶ Perfect matchings
Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Mp00113: Perfect matchings —reverse⟶ Perfect matchings
Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Images
[(1,2)] => [(1,2)] => [(1,2)] => [1,0]
[(1,2),(3,4)] => [(1,2),(3,4)] => [(1,2),(3,4)] => [1,0,1,0]
[(1,3),(2,4)] => [(1,4),(2,3)] => [(1,4),(2,3)] => [1,1,0,0]
[(1,4),(2,3)] => [(1,3),(2,4)] => [(1,3),(2,4)] => [1,1,0,0]
[(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => [1,0,1,0,1,0]
[(1,3),(2,4),(5,6)] => [(1,4),(2,3),(5,6)] => [(1,2),(3,6),(4,5)] => [1,0,1,1,0,0]
[(1,4),(2,3),(5,6)] => [(1,3),(2,4),(5,6)] => [(1,2),(3,5),(4,6)] => [1,0,1,1,0,0]
[(1,5),(2,3),(4,6)] => [(1,3),(2,6),(4,5)] => [(1,5),(2,3),(4,6)] => [1,1,0,1,0,0]
[(1,6),(2,3),(4,5)] => [(1,3),(2,5),(4,6)] => [(1,3),(2,5),(4,6)] => [1,1,0,1,0,0]
[(1,6),(2,4),(3,5)] => [(1,5),(2,4),(3,6)] => [(1,4),(2,6),(3,5)] => [1,1,1,0,0,0]
[(1,5),(2,4),(3,6)] => [(1,6),(2,4),(3,5)] => [(1,6),(2,4),(3,5)] => [1,1,1,0,0,0]
[(1,4),(2,5),(3,6)] => [(1,6),(2,5),(3,4)] => [(1,6),(2,5),(3,4)] => [1,1,1,0,0,0]
[(1,3),(2,5),(4,6)] => [(1,6),(2,3),(4,5)] => [(1,6),(2,3),(4,5)] => [1,1,0,1,0,0]
[(1,2),(3,5),(4,6)] => [(1,2),(3,6),(4,5)] => [(1,4),(2,3),(5,6)] => [1,1,0,0,1,0]
[(1,2),(3,6),(4,5)] => [(1,2),(3,5),(4,6)] => [(1,3),(2,4),(5,6)] => [1,1,0,0,1,0]
[(1,3),(2,6),(4,5)] => [(1,5),(2,3),(4,6)] => [(1,3),(2,6),(4,5)] => [1,1,0,1,0,0]
[(1,4),(2,6),(3,5)] => [(1,5),(2,6),(3,4)] => [(1,5),(2,6),(3,4)] => [1,1,1,0,0,0]
[(1,5),(2,6),(3,4)] => [(1,4),(2,6),(3,5)] => [(1,5),(2,4),(3,6)] => [1,1,1,0,0,0]
[(1,6),(2,5),(3,4)] => [(1,4),(2,5),(3,6)] => [(1,4),(2,5),(3,6)] => [1,1,1,0,0,0]
[(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [1,0,1,0,1,0,1,0]
[(1,3),(2,4),(5,6),(7,8)] => [(1,4),(2,3),(5,6),(7,8)] => [(1,2),(3,4),(5,8),(6,7)] => [1,0,1,0,1,1,0,0]
[(1,4),(2,3),(5,6),(7,8)] => [(1,3),(2,4),(5,6),(7,8)] => [(1,2),(3,4),(5,7),(6,8)] => [1,0,1,0,1,1,0,0]
[(1,5),(2,3),(4,6),(7,8)] => [(1,3),(2,6),(4,5),(7,8)] => [(1,2),(3,7),(4,5),(6,8)] => [1,0,1,1,0,1,0,0]
[(1,6),(2,3),(4,5),(7,8)] => [(1,3),(2,5),(4,6),(7,8)] => [(1,2),(3,5),(4,7),(6,8)] => [1,0,1,1,0,1,0,0]
[(1,7),(2,3),(4,5),(6,8)] => [(1,3),(2,5),(4,8),(6,7)] => [(1,5),(2,3),(4,7),(6,8)] => [1,1,0,1,0,1,0,0]
[(1,8),(2,3),(4,5),(6,7)] => [(1,3),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)] => [1,1,0,1,0,1,0,0]
[(1,8),(2,4),(3,5),(6,7)] => [(1,5),(2,4),(3,7),(6,8)] => [(1,3),(2,6),(4,8),(5,7)] => [1,1,0,1,1,0,0,0]
[(1,7),(2,4),(3,5),(6,8)] => [(1,5),(2,4),(3,8),(6,7)] => [(1,6),(2,3),(4,8),(5,7)] => [1,1,0,1,1,0,0,0]
[(1,6),(2,4),(3,5),(7,8)] => [(1,5),(2,4),(3,6),(7,8)] => [(1,2),(3,6),(4,8),(5,7)] => [1,0,1,1,1,0,0,0]
[(1,5),(2,4),(3,6),(7,8)] => [(1,6),(2,4),(3,5),(7,8)] => [(1,2),(3,8),(4,6),(5,7)] => [1,0,1,1,1,0,0,0]
[(1,4),(2,5),(3,6),(7,8)] => [(1,6),(2,5),(3,4),(7,8)] => [(1,2),(3,8),(4,7),(5,6)] => [1,0,1,1,1,0,0,0]
[(1,3),(2,5),(4,6),(7,8)] => [(1,6),(2,3),(4,5),(7,8)] => [(1,2),(3,8),(4,5),(6,7)] => [1,0,1,1,0,1,0,0]
[(1,2),(3,5),(4,6),(7,8)] => [(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,6),(4,5),(7,8)] => [1,0,1,1,0,0,1,0]
[(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,5),(4,6),(7,8)] => [(1,2),(3,5),(4,6),(7,8)] => [1,0,1,1,0,0,1,0]
[(1,3),(2,6),(4,5),(7,8)] => [(1,5),(2,3),(4,6),(7,8)] => [(1,2),(3,5),(4,8),(6,7)] => [1,0,1,1,0,1,0,0]
[(1,4),(2,6),(3,5),(7,8)] => [(1,5),(2,6),(3,4),(7,8)] => [(1,2),(3,7),(4,8),(5,6)] => [1,0,1,1,1,0,0,0]
[(1,5),(2,6),(3,4),(7,8)] => [(1,4),(2,6),(3,5),(7,8)] => [(1,2),(3,7),(4,6),(5,8)] => [1,0,1,1,1,0,0,0]
[(1,6),(2,5),(3,4),(7,8)] => [(1,4),(2,5),(3,6),(7,8)] => [(1,2),(3,6),(4,7),(5,8)] => [1,0,1,1,1,0,0,0]
[(1,7),(2,5),(3,4),(6,8)] => [(1,4),(2,5),(3,8),(6,7)] => [(1,6),(2,3),(4,7),(5,8)] => [1,1,0,1,1,0,0,0]
[(1,8),(2,5),(3,4),(6,7)] => [(1,4),(2,5),(3,7),(6,8)] => [(1,3),(2,6),(4,7),(5,8)] => [1,1,0,1,1,0,0,0]
[(1,8),(2,6),(3,4),(5,7)] => [(1,4),(2,7),(3,6),(5,8)] => [(1,4),(2,7),(3,6),(5,8)] => [1,1,1,0,1,0,0,0]
[(1,7),(2,6),(3,4),(5,8)] => [(1,4),(2,8),(3,6),(5,7)] => [(1,7),(2,4),(3,6),(5,8)] => [1,1,1,0,1,0,0,0]
[(1,6),(2,7),(3,4),(5,8)] => [(1,4),(2,8),(3,7),(5,6)] => [(1,7),(2,6),(3,4),(5,8)] => [1,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,4),(6,8)] => [(1,4),(2,8),(3,5),(6,7)] => [(1,7),(2,3),(4,6),(5,8)] => [1,1,0,1,1,0,0,0]
[(1,4),(2,7),(3,5),(6,8)] => [(1,5),(2,8),(3,4),(6,7)] => [(1,7),(2,3),(4,8),(5,6)] => [1,1,0,1,1,0,0,0]
[(1,3),(2,7),(4,5),(6,8)] => [(1,5),(2,3),(4,8),(6,7)] => [(1,5),(2,3),(4,8),(6,7)] => [1,1,0,1,0,1,0,0]
[(1,2),(3,7),(4,5),(6,8)] => [(1,2),(3,5),(4,8),(6,7)] => [(1,5),(2,3),(4,6),(7,8)] => [1,1,0,1,0,0,1,0]
[(1,2),(3,8),(4,5),(6,7)] => [(1,2),(3,5),(4,7),(6,8)] => [(1,3),(2,5),(4,6),(7,8)] => [1,1,0,1,0,0,1,0]
[(1,3),(2,8),(4,5),(6,7)] => [(1,5),(2,3),(4,7),(6,8)] => [(1,3),(2,5),(4,8),(6,7)] => [1,1,0,1,0,1,0,0]
[(1,4),(2,8),(3,5),(6,7)] => [(1,5),(2,7),(3,4),(6,8)] => [(1,3),(2,7),(4,8),(5,6)] => [1,1,0,1,1,0,0,0]
[(1,5),(2,8),(3,4),(6,7)] => [(1,4),(2,7),(3,5),(6,8)] => [(1,3),(2,7),(4,6),(5,8)] => [1,1,0,1,1,0,0,0]
[(1,6),(2,8),(3,4),(5,7)] => [(1,4),(2,7),(3,8),(5,6)] => [(1,6),(2,7),(3,4),(5,8)] => [1,1,1,0,1,0,0,0]
[(1,7),(2,8),(3,4),(5,6)] => [(1,4),(2,6),(3,8),(5,7)] => [(1,6),(2,4),(3,7),(5,8)] => [1,1,1,0,1,0,0,0]
[(1,8),(2,7),(3,4),(5,6)] => [(1,4),(2,6),(3,7),(5,8)] => [(1,4),(2,6),(3,7),(5,8)] => [1,1,1,0,1,0,0,0]
[(1,8),(2,7),(3,5),(4,6)] => [(1,6),(2,5),(3,7),(4,8)] => [(1,5),(2,6),(3,8),(4,7)] => [1,1,1,1,0,0,0,0]
[(1,7),(2,8),(3,5),(4,6)] => [(1,6),(2,5),(3,8),(4,7)] => [(1,6),(2,5),(3,8),(4,7)] => [1,1,1,1,0,0,0,0]
[(1,6),(2,8),(3,5),(4,7)] => [(1,7),(2,5),(3,8),(4,6)] => [(1,6),(2,8),(3,5),(4,7)] => [1,1,1,1,0,0,0,0]
[(1,5),(2,8),(3,6),(4,7)] => [(1,7),(2,6),(3,8),(4,5)] => [(1,6),(2,8),(3,7),(4,5)] => [1,1,1,1,0,0,0,0]
[(1,4),(2,8),(3,6),(5,7)] => [(1,7),(2,6),(3,4),(5,8)] => [(1,4),(2,8),(3,7),(5,6)] => [1,1,1,0,1,0,0,0]
[(1,3),(2,8),(4,6),(5,7)] => [(1,7),(2,3),(4,6),(5,8)] => [(1,4),(2,8),(3,5),(6,7)] => [1,1,1,0,0,1,0,0]
[(1,2),(3,8),(4,6),(5,7)] => [(1,2),(3,7),(4,6),(5,8)] => [(1,4),(2,6),(3,5),(7,8)] => [1,1,1,0,0,0,1,0]
[(1,2),(3,7),(4,6),(5,8)] => [(1,2),(3,8),(4,6),(5,7)] => [(1,6),(2,4),(3,5),(7,8)] => [1,1,1,0,0,0,1,0]
[(1,3),(2,7),(4,6),(5,8)] => [(1,8),(2,3),(4,6),(5,7)] => [(1,8),(2,4),(3,5),(6,7)] => [1,1,1,0,0,1,0,0]
[(1,4),(2,7),(3,6),(5,8)] => [(1,8),(2,6),(3,4),(5,7)] => [(1,8),(2,4),(3,7),(5,6)] => [1,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,6),(4,8)] => [(1,8),(2,6),(3,7),(4,5)] => [(1,8),(2,6),(3,7),(4,5)] => [1,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,5),(4,8)] => [(1,8),(2,5),(3,7),(4,6)] => [(1,8),(2,6),(3,5),(4,7)] => [1,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,5),(4,8)] => [(1,8),(2,5),(3,6),(4,7)] => [(1,8),(2,5),(3,6),(4,7)] => [1,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,5),(4,7)] => [(1,7),(2,5),(3,6),(4,8)] => [(1,5),(2,8),(3,6),(4,7)] => [1,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,6),(4,7)] => [(1,7),(2,6),(3,5),(4,8)] => [(1,5),(2,8),(3,7),(4,6)] => [1,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,6),(4,8)] => [(1,8),(2,6),(3,5),(4,7)] => [(1,8),(2,5),(3,7),(4,6)] => [1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,7),(4,8)] => [(1,8),(2,7),(3,5),(4,6)] => [(1,8),(2,7),(3,5),(4,6)] => [1,1,1,1,0,0,0,0]
[(1,5),(2,6),(3,7),(4,8)] => [(1,8),(2,7),(3,6),(4,5)] => [(1,8),(2,7),(3,6),(4,5)] => [1,1,1,1,0,0,0,0]
[(1,4),(2,6),(3,7),(5,8)] => [(1,8),(2,7),(3,4),(5,6)] => [(1,8),(2,7),(3,4),(5,6)] => [1,1,1,0,1,0,0,0]
[(1,3),(2,6),(4,7),(5,8)] => [(1,8),(2,3),(4,7),(5,6)] => [(1,8),(2,5),(3,4),(6,7)] => [1,1,1,0,0,1,0,0]
[(1,2),(3,6),(4,7),(5,8)] => [(1,2),(3,8),(4,7),(5,6)] => [(1,6),(2,5),(3,4),(7,8)] => [1,1,1,0,0,0,1,0]
[(1,2),(3,5),(4,7),(6,8)] => [(1,2),(3,8),(4,5),(6,7)] => [(1,6),(2,3),(4,5),(7,8)] => [1,1,0,1,0,0,1,0]
[(1,3),(2,5),(4,7),(6,8)] => [(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [1,1,0,1,0,1,0,0]
[(1,4),(2,5),(3,7),(6,8)] => [(1,8),(2,5),(3,4),(6,7)] => [(1,8),(2,3),(4,7),(5,6)] => [1,1,0,1,1,0,0,0]
[(1,5),(2,4),(3,7),(6,8)] => [(1,8),(2,4),(3,5),(6,7)] => [(1,8),(2,3),(4,6),(5,7)] => [1,1,0,1,1,0,0,0]
[(1,6),(2,4),(3,7),(5,8)] => [(1,8),(2,4),(3,7),(5,6)] => [(1,8),(2,6),(3,4),(5,7)] => [1,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,6),(5,8)] => [(1,8),(2,4),(3,6),(5,7)] => [(1,8),(2,4),(3,6),(5,7)] => [1,1,1,0,1,0,0,0]
[(1,8),(2,4),(3,6),(5,7)] => [(1,7),(2,4),(3,6),(5,8)] => [(1,4),(2,8),(3,6),(5,7)] => [1,1,1,0,1,0,0,0]
[(1,8),(2,3),(4,6),(5,7)] => [(1,3),(2,7),(4,6),(5,8)] => [(1,4),(2,7),(3,5),(6,8)] => [1,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,6),(5,8)] => [(1,3),(2,8),(4,6),(5,7)] => [(1,7),(2,4),(3,5),(6,8)] => [1,1,1,0,0,1,0,0]
[(1,6),(2,3),(4,7),(5,8)] => [(1,3),(2,8),(4,7),(5,6)] => [(1,7),(2,5),(3,4),(6,8)] => [1,1,1,0,0,1,0,0]
[(1,5),(2,3),(4,7),(6,8)] => [(1,3),(2,8),(4,5),(6,7)] => [(1,7),(2,3),(4,5),(6,8)] => [1,1,0,1,0,1,0,0]
[(1,4),(2,3),(5,7),(6,8)] => [(1,3),(2,4),(5,8),(6,7)] => [(1,4),(2,3),(5,7),(6,8)] => [1,1,0,0,1,1,0,0]
[(1,3),(2,4),(5,7),(6,8)] => [(1,4),(2,3),(5,8),(6,7)] => [(1,4),(2,3),(5,8),(6,7)] => [1,1,0,0,1,1,0,0]
[(1,2),(3,4),(5,7),(6,8)] => [(1,2),(3,4),(5,8),(6,7)] => [(1,4),(2,3),(5,6),(7,8)] => [1,1,0,0,1,0,1,0]
[(1,2),(3,4),(5,8),(6,7)] => [(1,2),(3,4),(5,7),(6,8)] => [(1,3),(2,4),(5,6),(7,8)] => [1,1,0,0,1,0,1,0]
[(1,3),(2,4),(5,8),(6,7)] => [(1,4),(2,3),(5,7),(6,8)] => [(1,3),(2,4),(5,8),(6,7)] => [1,1,0,0,1,1,0,0]
[(1,4),(2,3),(5,8),(6,7)] => [(1,3),(2,4),(5,7),(6,8)] => [(1,3),(2,4),(5,7),(6,8)] => [1,1,0,0,1,1,0,0]
[(1,5),(2,3),(4,8),(6,7)] => [(1,3),(2,7),(4,5),(6,8)] => [(1,3),(2,7),(4,5),(6,8)] => [1,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,8),(5,7)] => [(1,3),(2,7),(4,8),(5,6)] => [(1,5),(2,7),(3,4),(6,8)] => [1,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,8),(5,6)] => [(1,3),(2,6),(4,8),(5,7)] => [(1,5),(2,4),(3,7),(6,8)] => [1,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,7),(5,6)] => [(1,3),(2,6),(4,7),(5,8)] => [(1,4),(2,5),(3,7),(6,8)] => [1,1,1,0,0,1,0,0]
[(1,8),(2,4),(3,7),(5,6)] => [(1,6),(2,4),(3,7),(5,8)] => [(1,4),(2,6),(3,8),(5,7)] => [1,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,8),(5,6)] => [(1,6),(2,4),(3,8),(5,7)] => [(1,6),(2,4),(3,8),(5,7)] => [1,1,1,0,1,0,0,0]
[(1,6),(2,4),(3,8),(5,7)] => [(1,7),(2,4),(3,8),(5,6)] => [(1,6),(2,8),(3,4),(5,7)] => [1,1,1,0,1,0,0,0]
[(1,5),(2,4),(3,8),(6,7)] => [(1,7),(2,4),(3,5),(6,8)] => [(1,3),(2,8),(4,6),(5,7)] => [1,1,0,1,1,0,0,0]
[(1,4),(2,5),(3,8),(6,7)] => [(1,7),(2,5),(3,4),(6,8)] => [(1,3),(2,8),(4,7),(5,6)] => [1,1,0,1,1,0,0,0]
>>> Load all 1072 entries. <<<
[(1,3),(2,5),(4,8),(6,7)] => [(1,7),(2,3),(4,5),(6,8)] => [(1,3),(2,8),(4,5),(6,7)] => [1,1,0,1,0,1,0,0]
[(1,2),(3,5),(4,8),(6,7)] => [(1,2),(3,7),(4,5),(6,8)] => [(1,3),(2,6),(4,5),(7,8)] => [1,1,0,1,0,0,1,0]
[(1,2),(3,6),(4,8),(5,7)] => [(1,2),(3,7),(4,8),(5,6)] => [(1,5),(2,6),(3,4),(7,8)] => [1,1,1,0,0,0,1,0]
[(1,3),(2,6),(4,8),(5,7)] => [(1,7),(2,3),(4,8),(5,6)] => [(1,5),(2,8),(3,4),(6,7)] => [1,1,1,0,0,1,0,0]
[(1,4),(2,6),(3,8),(5,7)] => [(1,7),(2,8),(3,4),(5,6)] => [(1,7),(2,8),(3,4),(5,6)] => [1,1,1,0,1,0,0,0]
[(1,5),(2,6),(3,8),(4,7)] => [(1,7),(2,8),(3,6),(4,5)] => [(1,7),(2,8),(3,6),(4,5)] => [1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,8),(4,7)] => [(1,7),(2,8),(3,5),(4,6)] => [(1,7),(2,8),(3,5),(4,6)] => [1,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,8),(4,6)] => [(1,6),(2,8),(3,5),(4,7)] => [(1,7),(2,5),(3,8),(4,6)] => [1,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,7),(4,6)] => [(1,6),(2,7),(3,5),(4,8)] => [(1,5),(2,7),(3,8),(4,6)] => [1,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,7),(4,5)] => [(1,5),(2,7),(3,6),(4,8)] => [(1,5),(2,7),(3,6),(4,8)] => [1,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,8),(4,5)] => [(1,5),(2,8),(3,6),(4,7)] => [(1,7),(2,5),(3,6),(4,8)] => [1,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,8),(4,5)] => [(1,5),(2,8),(3,7),(4,6)] => [(1,7),(2,6),(3,5),(4,8)] => [1,1,1,1,0,0,0,0]
[(1,5),(2,7),(3,8),(4,6)] => [(1,6),(2,8),(3,7),(4,5)] => [(1,7),(2,6),(3,8),(4,5)] => [1,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,8),(5,6)] => [(1,6),(2,8),(3,4),(5,7)] => [(1,7),(2,4),(3,8),(5,6)] => [1,1,1,0,1,0,0,0]
[(1,3),(2,7),(4,8),(5,6)] => [(1,6),(2,3),(4,8),(5,7)] => [(1,5),(2,4),(3,8),(6,7)] => [1,1,1,0,0,1,0,0]
[(1,2),(3,7),(4,8),(5,6)] => [(1,2),(3,6),(4,8),(5,7)] => [(1,5),(2,4),(3,6),(7,8)] => [1,1,1,0,0,0,1,0]
[(1,2),(3,8),(4,7),(5,6)] => [(1,2),(3,6),(4,7),(5,8)] => [(1,4),(2,5),(3,6),(7,8)] => [1,1,1,0,0,0,1,0]
[(1,3),(2,8),(4,7),(5,6)] => [(1,6),(2,3),(4,7),(5,8)] => [(1,4),(2,5),(3,8),(6,7)] => [1,1,1,0,0,1,0,0]
[(1,4),(2,8),(3,7),(5,6)] => [(1,6),(2,7),(3,4),(5,8)] => [(1,4),(2,7),(3,8),(5,6)] => [1,1,1,0,1,0,0,0]
[(1,5),(2,8),(3,7),(4,6)] => [(1,6),(2,7),(3,8),(4,5)] => [(1,6),(2,7),(3,8),(4,5)] => [1,1,1,1,0,0,0,0]
[(1,6),(2,8),(3,7),(4,5)] => [(1,5),(2,7),(3,8),(4,6)] => [(1,6),(2,7),(3,5),(4,8)] => [1,1,1,1,0,0,0,0]
[(1,7),(2,8),(3,6),(4,5)] => [(1,5),(2,6),(3,8),(4,7)] => [(1,6),(2,5),(3,7),(4,8)] => [1,1,1,1,0,0,0,0]
[(1,8),(2,7),(3,6),(4,5)] => [(1,5),(2,6),(3,7),(4,8)] => [(1,5),(2,6),(3,7),(4,8)] => [1,1,1,1,0,0,0,0]
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,8),(9,10)] => [1,0,1,0,1,0,1,0,1,0]
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [1,0,1,0,1,0,1,1,0,0]
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [1,0,1,0,1,0,1,1,0,0]
[(1,5),(2,3),(4,6),(7,8),(9,10)] => [(1,3),(2,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,9),(6,7),(8,10)] => [1,0,1,0,1,1,0,1,0,0]
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [1,0,1,0,1,1,0,1,0,0]
[(1,7),(2,3),(4,5),(6,8),(9,10)] => [(1,3),(2,5),(4,8),(6,7),(9,10)] => [(1,2),(3,7),(4,5),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0]
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0]
[(1,9),(2,3),(4,5),(6,7),(8,10)] => [(1,3),(2,5),(4,7),(6,10),(8,9)] => [(1,5),(2,3),(4,7),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0]
[(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)] => [1,1,0,1,0,1,0,1,0,0]
[(1,10),(2,4),(3,5),(6,7),(8,9)] => [(1,5),(2,4),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,9),(2,4),(3,5),(6,7),(8,10)] => [(1,5),(2,4),(3,7),(6,10),(8,9)] => [(1,5),(2,3),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,8),(2,4),(3,5),(6,7),(9,10)] => [(1,5),(2,4),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0]
[(1,7),(2,4),(3,5),(6,8),(9,10)] => [(1,5),(2,4),(3,8),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0]
[(1,6),(2,4),(3,5),(7,8),(9,10)] => [(1,5),(2,4),(3,6),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,10),(7,9)] => [1,0,1,0,1,1,1,0,0,0]
[(1,5),(2,4),(3,6),(7,8),(9,10)] => [(1,6),(2,4),(3,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,8),(7,9)] => [1,0,1,0,1,1,1,0,0,0]
[(1,4),(2,5),(3,6),(7,8),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [1,0,1,0,1,1,1,0,0,0]
[(1,3),(2,5),(4,6),(7,8),(9,10)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [1,0,1,0,1,1,0,1,0,0]
[(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [1,0,1,0,1,1,0,0,1,0]
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [1,0,1,0,1,1,0,0,1,0]
[(1,3),(2,6),(4,5),(7,8),(9,10)] => [(1,5),(2,3),(4,6),(7,8),(9,10)] => [(1,2),(3,4),(5,7),(6,10),(8,9)] => [1,0,1,0,1,1,0,1,0,0]
[(1,4),(2,6),(3,5),(7,8),(9,10)] => [(1,5),(2,6),(3,4),(7,8),(9,10)] => [(1,2),(3,4),(5,9),(6,10),(7,8)] => [1,0,1,0,1,1,1,0,0,0]
[(1,5),(2,6),(3,4),(7,8),(9,10)] => [(1,4),(2,6),(3,5),(7,8),(9,10)] => [(1,2),(3,4),(5,9),(6,8),(7,10)] => [1,0,1,0,1,1,1,0,0,0]
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => [1,0,1,0,1,1,1,0,0,0]
[(1,7),(2,5),(3,4),(6,8),(9,10)] => [(1,4),(2,5),(3,8),(6,7),(9,10)] => [(1,2),(3,8),(4,5),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0]
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0]
[(1,9),(2,5),(3,4),(6,7),(8,10)] => [(1,4),(2,5),(3,7),(6,10),(8,9)] => [(1,5),(2,3),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,10),(2,6),(3,4),(5,7),(8,9)] => [(1,4),(2,7),(3,6),(5,9),(8,10)] => [(1,3),(2,6),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,9),(2,6),(3,4),(5,7),(8,10)] => [(1,4),(2,7),(3,6),(5,10),(8,9)] => [(1,6),(2,3),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,6),(3,4),(5,7),(9,10)] => [(1,4),(2,7),(3,6),(5,8),(9,10)] => [(1,2),(3,6),(4,9),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0]
[(1,7),(2,6),(3,4),(5,8),(9,10)] => [(1,4),(2,8),(3,6),(5,7),(9,10)] => [(1,2),(3,9),(4,6),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0]
[(1,6),(2,7),(3,4),(5,8),(9,10)] => [(1,4),(2,8),(3,7),(5,6),(9,10)] => [(1,2),(3,9),(4,8),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,4),(6,8),(9,10)] => [(1,4),(2,8),(3,5),(6,7),(9,10)] => [(1,2),(3,9),(4,5),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0]
[(1,4),(2,7),(3,5),(6,8),(9,10)] => [(1,5),(2,8),(3,4),(6,7),(9,10)] => [(1,2),(3,9),(4,5),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,7),(4,5),(6,8),(9,10)] => [(1,5),(2,3),(4,8),(6,7),(9,10)] => [(1,2),(3,7),(4,5),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0]
[(1,2),(3,7),(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)] => [1,0,1,1,0,1,0,0,1,0]
[(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)] => [1,0,1,1,0,1,0,0,1,0]
[(1,3),(2,8),(4,5),(6,7),(9,10)] => [(1,5),(2,3),(4,7),(6,8),(9,10)] => [(1,2),(3,5),(4,7),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0]
[(1,4),(2,8),(3,5),(6,7),(9,10)] => [(1,5),(2,7),(3,4),(6,8),(9,10)] => [(1,2),(3,5),(4,9),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0]
[(1,5),(2,8),(3,4),(6,7),(9,10)] => [(1,4),(2,7),(3,5),(6,8),(9,10)] => [(1,2),(3,5),(4,9),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0]
[(1,6),(2,8),(3,4),(5,7),(9,10)] => [(1,4),(2,7),(3,8),(5,6),(9,10)] => [(1,2),(3,8),(4,9),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0]
[(1,7),(2,8),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,8),(5,7),(9,10)] => [(1,2),(3,8),(4,6),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0]
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0]
[(1,9),(2,7),(3,4),(5,6),(8,10)] => [(1,4),(2,6),(3,7),(5,10),(8,9)] => [(1,6),(2,3),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,8),(3,4),(5,6),(7,9)] => [(1,4),(2,6),(3,9),(5,8),(7,10)] => [(1,4),(2,8),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,8),(3,4),(5,6),(7,10)] => [(1,4),(2,6),(3,10),(5,8),(7,9)] => [(1,8),(2,4),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,9),(3,4),(5,6),(7,10)] => [(1,4),(2,6),(3,10),(5,9),(7,8)] => [(1,8),(2,6),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,9),(3,4),(5,6),(8,10)] => [(1,4),(2,6),(3,10),(5,7),(8,9)] => [(1,8),(2,3),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,6),(2,9),(3,4),(5,7),(8,10)] => [(1,4),(2,7),(3,10),(5,6),(8,9)] => [(1,8),(2,3),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,9),(3,4),(6,7),(8,10)] => [(1,4),(2,7),(3,5),(6,10),(8,9)] => [(1,5),(2,3),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,9),(3,5),(6,7),(8,10)] => [(1,5),(2,7),(3,4),(6,10),(8,9)] => [(1,5),(2,3),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(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)] => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,9),(4,5),(6,7),(8,10)] => [(1,2),(3,5),(4,7),(6,10),(8,9)] => [(1,5),(2,3),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,3),(2,10),(4,5),(6,7),(8,9)] => [(1,5),(2,3),(4,7),(6,9),(8,10)] => [(1,3),(2,5),(4,7),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,10),(3,5),(6,7),(8,9)] => [(1,5),(2,7),(3,4),(6,9),(8,10)] => [(1,3),(2,5),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(1,5),(2,10),(3,4),(6,7),(8,9)] => [(1,4),(2,7),(3,5),(6,9),(8,10)] => [(1,3),(2,5),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,10),(3,4),(5,7),(8,9)] => [(1,4),(2,7),(3,9),(5,6),(8,10)] => [(1,3),(2,8),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,10),(3,4),(5,6),(8,9)] => [(1,4),(2,6),(3,9),(5,7),(8,10)] => [(1,3),(2,8),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,10),(3,4),(5,6),(7,9)] => [(1,4),(2,6),(3,9),(5,10),(7,8)] => [(1,6),(2,8),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,10),(3,4),(5,6),(7,8)] => [(1,4),(2,6),(3,8),(5,10),(7,9)] => [(1,6),(2,4),(3,8),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,9),(3,5),(4,6),(7,8)] => [(1,6),(2,5),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,10),(3,5),(4,6),(7,8)] => [(1,6),(2,5),(3,8),(4,10),(7,9)] => [(1,7),(2,4),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,10),(3,5),(4,6),(7,9)] => [(1,6),(2,5),(3,9),(4,10),(7,8)] => [(1,7),(2,8),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,10),(3,5),(4,6),(8,9)] => [(1,6),(2,5),(3,9),(4,7),(8,10)] => [(1,3),(2,8),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,10),(3,5),(4,7),(8,9)] => [(1,7),(2,5),(3,9),(4,6),(8,10)] => [(1,3),(2,8),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,5),(2,10),(3,6),(4,7),(8,9)] => [(1,7),(2,6),(3,9),(4,5),(8,10)] => [(1,3),(2,8),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,10),(3,6),(5,7),(8,9)] => [(1,7),(2,6),(3,4),(5,9),(8,10)] => [(1,3),(2,6),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,3),(2,10),(4,6),(5,7),(8,9)] => [(1,7),(2,3),(4,6),(5,9),(8,10)] => [(1,3),(2,6),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,10),(4,6),(5,7),(8,9)] => [(1,2),(3,7),(4,6),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,9),(4,6),(5,7),(8,10)] => [(1,2),(3,7),(4,6),(5,10),(8,9)] => [(1,6),(2,3),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,3),(2,9),(4,6),(5,7),(8,10)] => [(1,7),(2,3),(4,6),(5,10),(8,9)] => [(1,6),(2,3),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,9),(3,6),(5,7),(8,10)] => [(1,7),(2,6),(3,4),(5,10),(8,9)] => [(1,6),(2,3),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,9),(3,6),(4,7),(8,10)] => [(1,7),(2,6),(3,10),(4,5),(8,9)] => [(1,8),(2,3),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,9),(3,5),(4,7),(8,10)] => [(1,7),(2,5),(3,10),(4,6),(8,9)] => [(1,8),(2,3),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,9),(3,5),(4,6),(8,10)] => [(1,6),(2,5),(3,10),(4,7),(8,9)] => [(1,8),(2,3),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,9),(3,5),(4,6),(7,10)] => [(1,6),(2,5),(3,10),(4,9),(7,8)] => [(1,8),(2,7),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,8),(3,5),(4,6),(7,10)] => [(1,6),(2,5),(3,10),(4,8),(7,9)] => [(1,8),(2,4),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,8),(3,5),(4,6),(7,9)] => [(1,6),(2,5),(3,9),(4,8),(7,10)] => [(1,4),(2,8),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,7),(3,5),(4,6),(8,9)] => [(1,6),(2,5),(3,7),(4,9),(8,10)] => [(1,3),(2,7),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,7),(3,5),(4,6),(8,10)] => [(1,6),(2,5),(3,7),(4,10),(8,9)] => [(1,7),(2,3),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,7),(3,5),(4,6),(9,10)] => [(1,6),(2,5),(3,7),(4,8),(9,10)] => [(1,2),(3,7),(4,8),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0]
[(1,7),(2,8),(3,5),(4,6),(9,10)] => [(1,6),(2,5),(3,8),(4,7),(9,10)] => [(1,2),(3,8),(4,7),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0]
[(1,6),(2,8),(3,5),(4,7),(9,10)] => [(1,7),(2,5),(3,8),(4,6),(9,10)] => [(1,2),(3,8),(4,10),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0]
[(1,5),(2,8),(3,6),(4,7),(9,10)] => [(1,7),(2,6),(3,8),(4,5),(9,10)] => [(1,2),(3,8),(4,10),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0]
[(1,4),(2,8),(3,6),(5,7),(9,10)] => [(1,7),(2,6),(3,4),(5,8),(9,10)] => [(1,2),(3,6),(4,10),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,8),(4,6),(5,7),(9,10)] => [(1,7),(2,3),(4,6),(5,8),(9,10)] => [(1,2),(3,6),(4,10),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,8),(4,6),(5,7),(9,10)] => [(1,2),(3,7),(4,6),(5,8),(9,10)] => [(1,2),(3,6),(4,8),(5,7),(9,10)] => [1,0,1,1,1,0,0,0,1,0]
[(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)] => [1,0,1,1,1,0,0,0,1,0]
[(1,3),(2,7),(4,6),(5,8),(9,10)] => [(1,8),(2,3),(4,6),(5,7),(9,10)] => [(1,2),(3,10),(4,6),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0]
[(1,4),(2,7),(3,6),(5,8),(9,10)] => [(1,8),(2,6),(3,4),(5,7),(9,10)] => [(1,2),(3,10),(4,6),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,6),(4,8),(9,10)] => [(1,8),(2,6),(3,7),(4,5),(9,10)] => [(1,2),(3,10),(4,8),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,5),(4,8),(9,10)] => [(1,8),(2,5),(3,7),(4,6),(9,10)] => [(1,2),(3,10),(4,8),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,5),(4,8),(9,10)] => [(1,8),(2,5),(3,6),(4,7),(9,10)] => [(1,2),(3,10),(4,7),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,5),(4,7),(9,10)] => [(1,7),(2,5),(3,6),(4,8),(9,10)] => [(1,2),(3,7),(4,10),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0]
[(1,9),(2,6),(3,5),(4,7),(8,10)] => [(1,7),(2,5),(3,6),(4,10),(8,9)] => [(1,7),(2,3),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,6),(3,5),(4,7),(8,9)] => [(1,7),(2,5),(3,6),(4,9),(8,10)] => [(1,3),(2,7),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,5),(3,6),(4,7),(8,9)] => [(1,7),(2,6),(3,5),(4,9),(8,10)] => [(1,3),(2,7),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,5),(3,6),(4,7),(8,10)] => [(1,7),(2,6),(3,5),(4,10),(8,9)] => [(1,7),(2,3),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,6),(4,7),(9,10)] => [(1,7),(2,6),(3,5),(4,8),(9,10)] => [(1,2),(3,7),(4,10),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,6),(4,8),(9,10)] => [(1,8),(2,6),(3,5),(4,7),(9,10)] => [(1,2),(3,10),(4,7),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,7),(4,8),(9,10)] => [(1,8),(2,7),(3,5),(4,6),(9,10)] => [(1,2),(3,10),(4,9),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0]
[(1,5),(2,6),(3,7),(4,8),(9,10)] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0]
[(1,4),(2,6),(3,7),(5,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0]
[(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)] => [1,0,1,1,1,0,0,0,1,0]
[(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)] => [1,0,1,1,0,1,0,0,1,0]
[(1,3),(2,5),(4,7),(6,8),(9,10)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0]
[(1,4),(2,5),(3,7),(6,8),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0]
[(1,5),(2,4),(3,7),(6,8),(9,10)] => [(1,8),(2,4),(3,5),(6,7),(9,10)] => [(1,2),(3,10),(4,5),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0]
[(1,6),(2,4),(3,7),(5,8),(9,10)] => [(1,8),(2,4),(3,7),(5,6),(9,10)] => [(1,2),(3,10),(4,8),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,6),(5,8),(9,10)] => [(1,8),(2,4),(3,6),(5,7),(9,10)] => [(1,2),(3,10),(4,6),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0]
[(1,8),(2,4),(3,6),(5,7),(9,10)] => [(1,7),(2,4),(3,6),(5,8),(9,10)] => [(1,2),(3,6),(4,10),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0]
[(1,9),(2,4),(3,6),(5,7),(8,10)] => [(1,7),(2,4),(3,6),(5,10),(8,9)] => [(1,6),(2,3),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,4),(3,6),(5,7),(8,9)] => [(1,7),(2,4),(3,6),(5,9),(8,10)] => [(1,3),(2,6),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,3),(4,6),(5,7),(8,9)] => [(1,3),(2,7),(4,6),(5,9),(8,10)] => [(1,3),(2,6),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(1,9),(2,3),(4,6),(5,7),(8,10)] => [(1,3),(2,7),(4,6),(5,10),(8,9)] => [(1,6),(2,3),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,6),(5,7),(9,10)] => [(1,3),(2,7),(4,6),(5,8),(9,10)] => [(1,2),(3,6),(4,9),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,6),(5,8),(9,10)] => [(1,3),(2,8),(4,6),(5,7),(9,10)] => [(1,2),(3,9),(4,6),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0]
[(1,6),(2,3),(4,7),(5,8),(9,10)] => [(1,3),(2,8),(4,7),(5,6),(9,10)] => [(1,2),(3,9),(4,7),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0]
[(1,5),(2,3),(4,7),(6,8),(9,10)] => [(1,3),(2,8),(4,5),(6,7),(9,10)] => [(1,2),(3,9),(4,5),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0]
[(1,4),(2,3),(5,7),(6,8),(9,10)] => [(1,3),(2,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0]
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0]
[(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,6),(4,5),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0]
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [(1,2),(3,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0]
[(1,3),(2,4),(5,8),(6,7),(9,10)] => [(1,4),(2,3),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0]
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0]
[(1,5),(2,3),(4,8),(6,7),(9,10)] => [(1,3),(2,7),(4,5),(6,8),(9,10)] => [(1,2),(3,5),(4,9),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,8),(5,7),(9,10)] => [(1,3),(2,7),(4,8),(5,6),(9,10)] => [(1,2),(3,7),(4,9),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,8),(5,6),(9,10)] => [(1,3),(2,6),(4,8),(5,7),(9,10)] => [(1,2),(3,7),(4,6),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0]
[(1,9),(2,3),(4,7),(5,6),(8,10)] => [(1,3),(2,6),(4,7),(5,10),(8,9)] => [(1,6),(2,3),(4,7),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(1,10),(2,4),(3,7),(5,6),(8,9)] => [(1,6),(2,4),(3,7),(5,9),(8,10)] => [(1,3),(2,6),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,9),(2,4),(3,7),(5,6),(8,10)] => [(1,6),(2,4),(3,7),(5,10),(8,9)] => [(1,6),(2,3),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,4),(3,7),(5,6),(9,10)] => [(1,6),(2,4),(3,7),(5,8),(9,10)] => [(1,2),(3,6),(4,8),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,8),(5,6),(9,10)] => [(1,6),(2,4),(3,8),(5,7),(9,10)] => [(1,2),(3,8),(4,6),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0]
[(1,6),(2,4),(3,8),(5,7),(9,10)] => [(1,7),(2,4),(3,8),(5,6),(9,10)] => [(1,2),(3,8),(4,10),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0]
[(1,5),(2,4),(3,8),(6,7),(9,10)] => [(1,7),(2,4),(3,5),(6,8),(9,10)] => [(1,2),(3,5),(4,10),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0]
[(1,4),(2,5),(3,8),(6,7),(9,10)] => [(1,7),(2,5),(3,4),(6,8),(9,10)] => [(1,2),(3,5),(4,10),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,5),(4,8),(6,7),(9,10)] => [(1,7),(2,3),(4,5),(6,8),(9,10)] => [(1,2),(3,5),(4,10),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0]
[(1,2),(3,5),(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)] => [1,0,1,1,0,1,0,0,1,0]
[(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)] => [1,0,1,1,1,0,0,0,1,0]
[(1,3),(2,6),(4,8),(5,7),(9,10)] => [(1,7),(2,3),(4,8),(5,6),(9,10)] => [(1,2),(3,7),(4,10),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0]
[(1,4),(2,6),(3,8),(5,7),(9,10)] => [(1,7),(2,8),(3,4),(5,6),(9,10)] => [(1,2),(3,9),(4,10),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0]
[(1,5),(2,6),(3,8),(4,7),(9,10)] => [(1,7),(2,8),(3,6),(4,5),(9,10)] => [(1,2),(3,9),(4,10),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,8),(4,7),(9,10)] => [(1,7),(2,8),(3,5),(4,6),(9,10)] => [(1,2),(3,9),(4,10),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,8),(4,6),(9,10)] => [(1,6),(2,8),(3,5),(4,7),(9,10)] => [(1,2),(3,9),(4,7),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,7),(4,6),(9,10)] => [(1,6),(2,7),(3,5),(4,8),(9,10)] => [(1,2),(3,7),(4,9),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0]
[(1,9),(2,5),(3,7),(4,6),(8,10)] => [(1,6),(2,7),(3,5),(4,10),(8,9)] => [(1,7),(2,3),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,5),(3,7),(4,6),(8,9)] => [(1,6),(2,7),(3,5),(4,9),(8,10)] => [(1,3),(2,7),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,6),(3,7),(4,5),(8,9)] => [(1,5),(2,7),(3,6),(4,9),(8,10)] => [(1,3),(2,7),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,6),(3,7),(4,5),(8,10)] => [(1,5),(2,7),(3,6),(4,10),(8,9)] => [(1,7),(2,3),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,7),(4,5),(9,10)] => [(1,5),(2,7),(3,6),(4,8),(9,10)] => [(1,2),(3,7),(4,9),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,8),(4,5),(9,10)] => [(1,5),(2,8),(3,6),(4,7),(9,10)] => [(1,2),(3,9),(4,7),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,8),(4,5),(9,10)] => [(1,5),(2,8),(3,7),(4,6),(9,10)] => [(1,2),(3,9),(4,8),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0]
[(1,5),(2,7),(3,8),(4,6),(9,10)] => [(1,6),(2,8),(3,7),(4,5),(9,10)] => [(1,2),(3,9),(4,8),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,8),(5,6),(9,10)] => [(1,6),(2,8),(3,4),(5,7),(9,10)] => [(1,2),(3,9),(4,6),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,7),(4,8),(5,6),(9,10)] => [(1,6),(2,3),(4,8),(5,7),(9,10)] => [(1,2),(3,7),(4,6),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,7),(4,8),(5,6),(9,10)] => [(1,2),(3,6),(4,8),(5,7),(9,10)] => [(1,2),(3,7),(4,6),(5,8),(9,10)] => [1,0,1,1,1,0,0,0,1,0]
[(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)] => [1,0,1,1,1,0,0,0,1,0]
[(1,3),(2,8),(4,7),(5,6),(9,10)] => [(1,6),(2,3),(4,7),(5,8),(9,10)] => [(1,2),(3,6),(4,7),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0]
[(1,4),(2,8),(3,7),(5,6),(9,10)] => [(1,6),(2,7),(3,4),(5,8),(9,10)] => [(1,2),(3,6),(4,9),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0]
[(1,5),(2,8),(3,7),(4,6),(9,10)] => [(1,6),(2,7),(3,8),(4,5),(9,10)] => [(1,2),(3,8),(4,9),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0]
[(1,6),(2,8),(3,7),(4,5),(9,10)] => [(1,5),(2,7),(3,8),(4,6),(9,10)] => [(1,2),(3,8),(4,9),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0]
[(1,7),(2,8),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,8),(4,7),(9,10)] => [(1,2),(3,8),(4,7),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0]
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0]
[(1,9),(2,7),(3,6),(4,5),(8,10)] => [(1,5),(2,6),(3,7),(4,10),(8,9)] => [(1,7),(2,3),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,8),(3,6),(4,5),(7,9)] => [(1,5),(2,6),(3,9),(4,8),(7,10)] => [(1,4),(2,8),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,8),(3,6),(4,5),(7,10)] => [(1,5),(2,6),(3,10),(4,8),(7,9)] => [(1,8),(2,4),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,9),(3,6),(4,5),(7,10)] => [(1,5),(2,6),(3,10),(4,9),(7,8)] => [(1,8),(2,7),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,9),(3,6),(4,5),(8,10)] => [(1,5),(2,6),(3,10),(4,7),(8,9)] => [(1,8),(2,3),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,9),(3,7),(4,5),(8,10)] => [(1,5),(2,7),(3,10),(4,6),(8,9)] => [(1,8),(2,3),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,5),(2,9),(3,7),(4,6),(8,10)] => [(1,6),(2,7),(3,10),(4,5),(8,9)] => [(1,8),(2,3),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,9),(3,7),(5,6),(8,10)] => [(1,6),(2,7),(3,4),(5,10),(8,9)] => [(1,6),(2,3),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,9),(4,7),(5,6),(8,10)] => [(1,2),(3,6),(4,7),(5,10),(8,9)] => [(1,6),(2,3),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,3),(2,10),(4,7),(5,6),(8,9)] => [(1,6),(2,3),(4,7),(5,9),(8,10)] => [(1,3),(2,6),(4,7),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,10),(3,7),(5,6),(8,9)] => [(1,6),(2,7),(3,4),(5,9),(8,10)] => [(1,3),(2,6),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,10),(3,7),(4,6),(8,9)] => [(1,6),(2,7),(3,9),(4,5),(8,10)] => [(1,3),(2,8),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,10),(3,7),(4,5),(8,9)] => [(1,5),(2,7),(3,9),(4,6),(8,10)] => [(1,3),(2,8),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,10),(3,6),(4,5),(8,9)] => [(1,5),(2,6),(3,9),(4,7),(8,10)] => [(1,3),(2,8),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,10),(3,6),(4,5),(7,9)] => [(1,5),(2,6),(3,9),(4,10),(7,8)] => [(1,7),(2,8),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,10),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,10),(7,9)] => [(1,7),(2,4),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,9),(3,7),(4,5),(6,8)] => [(1,5),(2,8),(3,7),(4,9),(6,10)] => [(1,5),(2,7),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,10),(3,7),(4,5),(6,8)] => [(1,5),(2,8),(3,7),(4,10),(6,9)] => [(1,7),(2,5),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,7),(4,5),(6,9)] => [(1,5),(2,9),(3,7),(4,10),(6,8)] => [(1,7),(2,9),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,10),(3,8),(4,5),(6,9)] => [(1,5),(2,9),(3,8),(4,10),(6,7)] => [(1,7),(2,9),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,8),(4,5),(7,9)] => [(1,5),(2,9),(3,8),(4,6),(7,10)] => [(1,4),(2,9),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,10),(3,8),(4,6),(7,9)] => [(1,6),(2,9),(3,8),(4,5),(7,10)] => [(1,4),(2,9),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,10),(3,8),(5,6),(7,9)] => [(1,6),(2,9),(3,4),(5,8),(7,10)] => [(1,4),(2,9),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,10),(4,8),(5,6),(7,9)] => [(1,6),(2,3),(4,9),(5,8),(7,10)] => [(1,4),(2,7),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,10),(4,8),(5,6),(7,9)] => [(1,2),(3,6),(4,9),(5,8),(7,10)] => [(1,4),(2,7),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,9),(4,8),(5,6),(7,10)] => [(1,2),(3,6),(4,10),(5,8),(7,9)] => [(1,7),(2,4),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,9),(4,8),(5,6),(7,10)] => [(1,6),(2,3),(4,10),(5,8),(7,9)] => [(1,7),(2,4),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,4),(2,9),(3,8),(5,6),(7,10)] => [(1,6),(2,10),(3,4),(5,8),(7,9)] => [(1,9),(2,4),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,9),(3,8),(4,6),(7,10)] => [(1,6),(2,10),(3,8),(4,5),(7,9)] => [(1,9),(2,4),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,9),(3,8),(4,5),(7,10)] => [(1,5),(2,10),(3,8),(4,6),(7,9)] => [(1,9),(2,4),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,9),(3,8),(4,5),(6,10)] => [(1,5),(2,10),(3,8),(4,9),(6,7)] => [(1,9),(2,7),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,7),(4,5),(6,10)] => [(1,5),(2,10),(3,7),(4,9),(6,8)] => [(1,9),(2,7),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,8),(3,7),(4,5),(6,10)] => [(1,5),(2,10),(3,7),(4,8),(6,9)] => [(1,9),(2,5),(3,7),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,7),(3,8),(4,5),(6,10)] => [(1,5),(2,10),(3,8),(4,7),(6,9)] => [(1,9),(2,5),(3,8),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,9),(4,5),(6,10)] => [(1,5),(2,10),(3,9),(4,7),(6,8)] => [(1,9),(2,8),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,8),(3,9),(4,5),(6,10)] => [(1,5),(2,10),(3,9),(4,8),(6,7)] => [(1,9),(2,8),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,9),(4,5),(7,10)] => [(1,5),(2,10),(3,9),(4,6),(7,8)] => [(1,9),(2,8),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,8),(3,9),(4,6),(7,10)] => [(1,6),(2,10),(3,9),(4,5),(7,8)] => [(1,9),(2,8),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,8),(3,9),(5,6),(7,10)] => [(1,6),(2,10),(3,4),(5,9),(7,8)] => [(1,9),(2,6),(3,4),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,8),(4,9),(5,6),(7,10)] => [(1,6),(2,3),(4,10),(5,9),(7,8)] => [(1,7),(2,6),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,8),(4,9),(5,6),(7,10)] => [(1,2),(3,6),(4,10),(5,9),(7,8)] => [(1,7),(2,6),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,7),(4,9),(5,6),(8,10)] => [(1,2),(3,6),(4,10),(5,7),(8,9)] => [(1,7),(2,3),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,3),(2,7),(4,9),(5,6),(8,10)] => [(1,6),(2,3),(4,10),(5,7),(8,9)] => [(1,7),(2,3),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,7),(3,9),(5,6),(8,10)] => [(1,6),(2,10),(3,4),(5,7),(8,9)] => [(1,9),(2,3),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,9),(4,6),(8,10)] => [(1,6),(2,10),(3,7),(4,5),(8,9)] => [(1,9),(2,3),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,9),(4,5),(8,10)] => [(1,5),(2,10),(3,7),(4,6),(8,9)] => [(1,9),(2,3),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,9),(4,5),(8,10)] => [(1,5),(2,10),(3,6),(4,7),(8,9)] => [(1,9),(2,3),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,9),(4,5),(7,10)] => [(1,5),(2,10),(3,6),(4,9),(7,8)] => [(1,9),(2,7),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,6),(3,8),(4,5),(7,10)] => [(1,5),(2,10),(3,6),(4,8),(7,9)] => [(1,9),(2,4),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,6),(3,8),(4,5),(7,9)] => [(1,5),(2,9),(3,6),(4,8),(7,10)] => [(1,4),(2,9),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,5),(3,8),(4,6),(7,9)] => [(1,6),(2,9),(3,5),(4,8),(7,10)] => [(1,4),(2,9),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,5),(3,8),(4,6),(7,10)] => [(1,6),(2,10),(3,5),(4,8),(7,9)] => [(1,9),(2,4),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,5),(3,9),(4,6),(7,10)] => [(1,6),(2,10),(3,5),(4,9),(7,8)] => [(1,9),(2,7),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,5),(3,9),(4,6),(8,10)] => [(1,6),(2,10),(3,5),(4,7),(8,9)] => [(1,9),(2,3),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,9),(4,7),(8,10)] => [(1,7),(2,10),(3,5),(4,6),(8,9)] => [(1,9),(2,3),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,5),(2,6),(3,9),(4,7),(8,10)] => [(1,7),(2,10),(3,6),(4,5),(8,9)] => [(1,9),(2,3),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,6),(3,9),(5,7),(8,10)] => [(1,7),(2,10),(3,4),(5,6),(8,9)] => [(1,9),(2,3),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,6),(4,9),(5,7),(8,10)] => [(1,2),(3,7),(4,10),(5,6),(8,9)] => [(1,7),(2,3),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,5),(4,9),(6,7),(8,10)] => [(1,2),(3,7),(4,5),(6,10),(8,9)] => [(1,5),(2,3),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,3),(2,5),(4,9),(6,7),(8,10)] => [(1,7),(2,3),(4,5),(6,10),(8,9)] => [(1,5),(2,3),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,5),(3,9),(6,7),(8,10)] => [(1,7),(2,5),(3,4),(6,10),(8,9)] => [(1,5),(2,3),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(1,5),(2,4),(3,9),(6,7),(8,10)] => [(1,7),(2,4),(3,5),(6,10),(8,9)] => [(1,5),(2,3),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,4),(3,9),(5,7),(8,10)] => [(1,7),(2,4),(3,10),(5,6),(8,9)] => [(1,8),(2,3),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,9),(5,6),(8,10)] => [(1,6),(2,4),(3,10),(5,7),(8,9)] => [(1,8),(2,3),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,4),(3,9),(5,6),(7,10)] => [(1,6),(2,4),(3,10),(5,9),(7,8)] => [(1,8),(2,6),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,4),(3,8),(5,6),(7,10)] => [(1,6),(2,4),(3,10),(5,8),(7,9)] => [(1,8),(2,4),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,4),(3,8),(5,6),(7,9)] => [(1,6),(2,4),(3,9),(5,8),(7,10)] => [(1,4),(2,8),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,3),(4,8),(5,6),(7,9)] => [(1,3),(2,6),(4,9),(5,8),(7,10)] => [(1,4),(2,7),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,9),(2,3),(4,8),(5,6),(7,10)] => [(1,3),(2,6),(4,10),(5,8),(7,9)] => [(1,7),(2,4),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,3),(4,9),(5,6),(7,10)] => [(1,3),(2,6),(4,10),(5,9),(7,8)] => [(1,7),(2,6),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,3),(4,9),(5,6),(8,10)] => [(1,3),(2,6),(4,10),(5,7),(8,9)] => [(1,7),(2,3),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(1,6),(2,3),(4,9),(5,7),(8,10)] => [(1,3),(2,7),(4,10),(5,6),(8,9)] => [(1,7),(2,3),(4,9),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(1,5),(2,3),(4,9),(6,7),(8,10)] => [(1,3),(2,7),(4,5),(6,10),(8,9)] => [(1,5),(2,3),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,3),(5,9),(6,7),(8,10)] => [(1,3),(2,4),(5,7),(6,10),(8,9)] => [(1,5),(2,3),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0]
[(1,3),(2,4),(5,9),(6,7),(8,10)] => [(1,4),(2,3),(5,7),(6,10),(8,9)] => [(1,5),(2,3),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0]
[(1,2),(3,4),(5,9),(6,7),(8,10)] => [(1,2),(3,4),(5,7),(6,10),(8,9)] => [(1,5),(2,3),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0]
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0]
[(1,3),(2,4),(5,10),(6,7),(8,9)] => [(1,4),(2,3),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0]
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,3),(2,4),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0]
[(1,5),(2,3),(4,10),(6,7),(8,9)] => [(1,3),(2,7),(4,5),(6,9),(8,10)] => [(1,3),(2,5),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,10),(5,6),(8,9)] => [(1,3),(2,6),(4,9),(5,7),(8,10)] => [(1,3),(2,7),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,10),(5,6),(7,9)] => [(1,3),(2,6),(4,9),(5,10),(7,8)] => [(1,6),(2,7),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,9),(2,3),(4,10),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,10),(7,9)] => [(1,6),(2,4),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,4),(3,9),(5,6),(7,8)] => [(1,6),(2,4),(3,8),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,4),(3,10),(5,6),(7,9)] => [(1,6),(2,4),(3,9),(5,10),(7,8)] => [(1,6),(2,8),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,10),(5,6),(8,9)] => [(1,6),(2,4),(3,9),(5,7),(8,10)] => [(1,3),(2,8),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,6),(2,4),(3,10),(5,7),(8,9)] => [(1,7),(2,4),(3,9),(5,6),(8,10)] => [(1,3),(2,8),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,4),(3,10),(6,7),(8,9)] => [(1,7),(2,4),(3,5),(6,9),(8,10)] => [(1,3),(2,5),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,5),(3,10),(6,7),(8,9)] => [(1,7),(2,5),(3,4),(6,9),(8,10)] => [(1,3),(2,5),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(1,3),(2,5),(4,10),(6,7),(8,9)] => [(1,7),(2,3),(4,5),(6,9),(8,10)] => [(1,3),(2,5),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,5),(4,10),(6,7),(8,9)] => [(1,2),(3,7),(4,5),(6,9),(8,10)] => [(1,3),(2,5),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,2),(3,6),(4,10),(5,7),(8,9)] => [(1,2),(3,7),(4,9),(5,6),(8,10)] => [(1,3),(2,7),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,3),(2,6),(4,10),(5,7),(8,9)] => [(1,7),(2,3),(4,9),(5,6),(8,10)] => [(1,3),(2,7),(4,10),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,6),(3,10),(5,7),(8,9)] => [(1,7),(2,9),(3,4),(5,6),(8,10)] => [(1,3),(2,9),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,6),(3,10),(4,7),(8,9)] => [(1,7),(2,9),(3,6),(4,5),(8,10)] => [(1,3),(2,9),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,10),(4,7),(8,9)] => [(1,7),(2,9),(3,5),(4,6),(8,10)] => [(1,3),(2,9),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,10),(4,6),(8,9)] => [(1,6),(2,9),(3,5),(4,7),(8,10)] => [(1,3),(2,9),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,10),(4,6),(7,9)] => [(1,6),(2,9),(3,5),(4,10),(7,8)] => [(1,7),(2,9),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,5),(3,10),(4,6),(7,8)] => [(1,6),(2,8),(3,5),(4,10),(7,9)] => [(1,7),(2,4),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,5),(3,9),(4,6),(7,8)] => [(1,6),(2,8),(3,5),(4,9),(7,10)] => [(1,4),(2,7),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,6),(3,9),(4,5),(7,8)] => [(1,5),(2,8),(3,6),(4,9),(7,10)] => [(1,4),(2,7),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,6),(3,10),(4,5),(7,8)] => [(1,5),(2,8),(3,6),(4,10),(7,9)] => [(1,7),(2,4),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,6),(3,10),(4,5),(7,9)] => [(1,5),(2,9),(3,6),(4,10),(7,8)] => [(1,7),(2,9),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,6),(3,10),(4,5),(8,9)] => [(1,5),(2,9),(3,6),(4,7),(8,10)] => [(1,3),(2,9),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,10),(4,5),(8,9)] => [(1,5),(2,9),(3,7),(4,6),(8,10)] => [(1,3),(2,9),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0]
[(1,5),(2,7),(3,10),(4,6),(8,9)] => [(1,6),(2,9),(3,7),(4,5),(8,10)] => [(1,3),(2,9),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,10),(5,6),(8,9)] => [(1,6),(2,9),(3,4),(5,7),(8,10)] => [(1,3),(2,9),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,3),(2,7),(4,10),(5,6),(8,9)] => [(1,6),(2,3),(4,9),(5,7),(8,10)] => [(1,3),(2,7),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,7),(4,10),(5,6),(8,9)] => [(1,2),(3,6),(4,9),(5,7),(8,10)] => [(1,3),(2,7),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,8),(4,10),(5,6),(7,9)] => [(1,2),(3,6),(4,9),(5,10),(7,8)] => [(1,6),(2,7),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,8),(4,10),(5,6),(7,9)] => [(1,6),(2,3),(4,9),(5,10),(7,8)] => [(1,6),(2,7),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,8),(3,10),(4,6),(7,9)] => [(1,6),(2,9),(3,10),(4,5),(7,8)] => [(1,8),(2,9),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,8),(3,10),(4,5),(7,9)] => [(1,5),(2,9),(3,10),(4,6),(7,8)] => [(1,8),(2,9),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,8),(3,10),(4,5),(6,9)] => [(1,5),(2,9),(3,10),(4,8),(6,7)] => [(1,8),(2,9),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,10),(4,5),(6,9)] => [(1,5),(2,9),(3,10),(4,7),(6,8)] => [(1,8),(2,9),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,7),(3,10),(4,5),(6,8)] => [(1,5),(2,8),(3,10),(4,7),(6,9)] => [(1,8),(2,5),(3,9),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,8),(3,9),(4,5),(6,7)] => [(1,5),(2,7),(3,9),(4,8),(6,10)] => [(1,5),(2,8),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,8),(3,10),(4,5),(6,7)] => [(1,5),(2,7),(3,10),(4,8),(6,9)] => [(1,8),(2,5),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,10),(4,5),(6,7)] => [(1,5),(2,7),(3,10),(4,9),(6,8)] => [(1,8),(2,7),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,9),(3,10),(4,5),(6,8)] => [(1,5),(2,8),(3,10),(4,9),(6,7)] => [(1,8),(2,7),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,10),(4,5),(7,8)] => [(1,5),(2,8),(3,10),(4,6),(7,9)] => [(1,8),(2,4),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,9),(3,10),(4,6),(7,8)] => [(1,6),(2,8),(3,10),(4,5),(7,9)] => [(1,8),(2,4),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,9),(3,10),(5,6),(7,8)] => [(1,6),(2,8),(3,4),(5,10),(7,9)] => [(1,6),(2,4),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,9),(4,10),(5,6),(7,8)] => [(1,6),(2,3),(4,8),(5,10),(7,9)] => [(1,6),(2,4),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,9),(4,10),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,10),(7,9)] => [(1,6),(2,4),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,2),(3,6),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,10),(4,9),(5,6),(7,8)] => [(1,6),(2,3),(4,8),(5,9),(7,10)] => [(1,4),(2,6),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,4),(2,10),(3,9),(5,6),(7,8)] => [(1,6),(2,8),(3,4),(5,9),(7,10)] => [(1,4),(2,6),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,10),(3,9),(4,6),(7,8)] => [(1,6),(2,8),(3,9),(4,5),(7,10)] => [(1,4),(2,8),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,10),(3,9),(4,5),(7,8)] => [(1,5),(2,8),(3,9),(4,6),(7,10)] => [(1,4),(2,8),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,10),(3,9),(4,5),(6,8)] => [(1,5),(2,8),(3,9),(4,10),(6,7)] => [(1,7),(2,8),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,9),(4,5),(6,7)] => [(1,5),(2,7),(3,9),(4,10),(6,8)] => [(1,7),(2,8),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,10),(3,8),(4,5),(6,7)] => [(1,5),(2,7),(3,8),(4,10),(6,9)] => [(1,7),(2,5),(3,8),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,9),(3,8),(4,6),(5,7)] => [(1,7),(2,6),(3,8),(4,9),(5,10)] => [(1,6),(2,7),(3,8),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,9),(4,6),(5,7)] => [(1,7),(2,6),(3,9),(4,10),(5,8)] => [(1,7),(2,8),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,9),(4,6),(5,8)] => [(1,8),(2,6),(3,9),(4,10),(5,7)] => [(1,7),(2,8),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,10),(3,9),(4,7),(5,8)] => [(1,8),(2,7),(3,9),(4,10),(5,6)] => [(1,7),(2,8),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,10),(3,9),(4,7),(6,8)] => [(1,8),(2,7),(3,9),(4,5),(6,10)] => [(1,5),(2,8),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,10),(3,9),(5,7),(6,8)] => [(1,8),(2,7),(3,4),(5,9),(6,10)] => [(1,5),(2,6),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,10),(4,9),(5,7),(6,8)] => [(1,8),(2,3),(4,7),(5,9),(6,10)] => [(1,5),(2,6),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,10),(4,9),(5,7),(6,8)] => [(1,2),(3,8),(4,7),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,9),(4,10),(5,7),(6,8)] => [(1,2),(3,8),(4,7),(5,10),(6,9)] => [(1,6),(2,5),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,9),(4,10),(5,7),(6,8)] => [(1,8),(2,3),(4,7),(5,10),(6,9)] => [(1,6),(2,5),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,9),(3,10),(5,7),(6,8)] => [(1,8),(2,7),(3,4),(5,10),(6,9)] => [(1,6),(2,5),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,9),(3,10),(4,7),(6,8)] => [(1,8),(2,7),(3,10),(4,5),(6,9)] => [(1,8),(2,5),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,10),(4,6),(5,8)] => [(1,8),(2,6),(3,10),(4,9),(5,7)] => [(1,8),(2,7),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,10),(4,6),(5,7)] => [(1,7),(2,6),(3,10),(4,9),(5,8)] => [(1,8),(2,7),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,10),(4,6),(5,7)] => [(1,7),(2,6),(3,10),(4,8),(5,9)] => [(1,8),(2,6),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,9),(4,6),(5,7)] => [(1,7),(2,6),(3,9),(4,8),(5,10)] => [(1,6),(2,8),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,9),(4,6),(5,8)] => [(1,8),(2,6),(3,9),(4,7),(5,10)] => [(1,6),(2,8),(3,10),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,10),(4,6),(5,9)] => [(1,9),(2,6),(3,10),(4,7),(5,8)] => [(1,8),(2,10),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,10),(4,6),(5,9)] => [(1,9),(2,6),(3,10),(4,8),(5,7)] => [(1,8),(2,10),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,8),(3,10),(4,7),(5,9)] => [(1,9),(2,7),(3,10),(4,8),(5,6)] => [(1,8),(2,10),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,8),(3,10),(4,7),(6,9)] => [(1,9),(2,7),(3,10),(4,5),(6,8)] => [(1,8),(2,10),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,8),(3,10),(5,7),(6,9)] => [(1,9),(2,7),(3,4),(5,10),(6,8)] => [(1,6),(2,10),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,8),(4,10),(5,7),(6,9)] => [(1,9),(2,3),(4,7),(5,10),(6,8)] => [(1,6),(2,10),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,8),(4,10),(5,7),(6,9)] => [(1,2),(3,9),(4,7),(5,10),(6,8)] => [(1,6),(2,8),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,7),(4,10),(5,8),(6,9)] => [(1,2),(3,9),(4,8),(5,10),(6,7)] => [(1,6),(2,8),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,7),(4,10),(5,8),(6,9)] => [(1,9),(2,3),(4,8),(5,10),(6,7)] => [(1,6),(2,10),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,7),(3,10),(5,8),(6,9)] => [(1,9),(2,8),(3,4),(5,10),(6,7)] => [(1,6),(2,10),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,7),(3,10),(4,8),(6,9)] => [(1,9),(2,8),(3,10),(4,5),(6,7)] => [(1,8),(2,10),(3,9),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,7),(3,10),(4,8),(5,9)] => [(1,9),(2,8),(3,10),(4,7),(5,6)] => [(1,8),(2,10),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,10),(4,8),(5,9)] => [(1,9),(2,8),(3,10),(4,6),(5,7)] => [(1,8),(2,10),(3,9),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,10),(4,7),(5,9)] => [(1,9),(2,7),(3,10),(4,6),(5,8)] => [(1,8),(2,10),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,10),(4,7),(5,8)] => [(1,8),(2,7),(3,10),(4,6),(5,9)] => [(1,8),(2,6),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,6),(3,9),(4,7),(5,8)] => [(1,8),(2,7),(3,9),(4,6),(5,10)] => [(1,6),(2,8),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,5),(3,9),(4,7),(6,8)] => [(1,8),(2,7),(3,5),(4,9),(6,10)] => [(1,5),(2,7),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,10),(4,7),(6,8)] => [(1,8),(2,7),(3,5),(4,10),(6,9)] => [(1,7),(2,5),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,10),(4,7),(6,9)] => [(1,9),(2,7),(3,5),(4,10),(6,8)] => [(1,7),(2,10),(3,5),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,5),(3,10),(4,8),(6,9)] => [(1,9),(2,8),(3,5),(4,10),(6,7)] => [(1,7),(2,10),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,5),(3,10),(4,8),(7,9)] => [(1,9),(2,8),(3,5),(4,6),(7,10)] => [(1,4),(2,10),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,6),(3,10),(4,8),(7,9)] => [(1,9),(2,8),(3,6),(4,5),(7,10)] => [(1,4),(2,10),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,6),(3,10),(5,8),(7,9)] => [(1,9),(2,8),(3,4),(5,6),(7,10)] => [(1,4),(2,10),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,6),(4,10),(5,8),(7,9)] => [(1,9),(2,3),(4,8),(5,6),(7,10)] => [(1,4),(2,10),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,6),(4,10),(5,8),(7,9)] => [(1,2),(3,9),(4,8),(5,6),(7,10)] => [(1,4),(2,8),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,5),(4,10),(6,8),(7,9)] => [(1,2),(3,9),(4,5),(6,8),(7,10)] => [(1,4),(2,8),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,5),(4,10),(6,8),(7,9)] => [(1,9),(2,3),(4,5),(6,8),(7,10)] => [(1,4),(2,10),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,5),(3,10),(6,8),(7,9)] => [(1,9),(2,5),(3,4),(6,8),(7,10)] => [(1,4),(2,10),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,4),(3,10),(6,8),(7,9)] => [(1,9),(2,4),(3,5),(6,8),(7,10)] => [(1,4),(2,10),(3,5),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,4),(3,10),(5,8),(7,9)] => [(1,9),(2,4),(3,8),(5,6),(7,10)] => [(1,4),(2,10),(3,8),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,10),(5,8),(6,9)] => [(1,9),(2,4),(3,8),(5,10),(6,7)] => [(1,6),(2,10),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,4),(3,10),(5,7),(6,9)] => [(1,9),(2,4),(3,7),(5,10),(6,8)] => [(1,6),(2,10),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,4),(3,10),(5,7),(6,8)] => [(1,8),(2,4),(3,7),(5,10),(6,9)] => [(1,6),(2,5),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,4),(3,9),(5,7),(6,8)] => [(1,8),(2,4),(3,7),(5,9),(6,10)] => [(1,5),(2,6),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,3),(4,9),(5,7),(6,8)] => [(1,3),(2,8),(4,7),(5,9),(6,10)] => [(1,5),(2,6),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,3),(4,10),(5,7),(6,8)] => [(1,3),(2,8),(4,7),(5,10),(6,9)] => [(1,6),(2,5),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,3),(4,10),(5,7),(6,9)] => [(1,3),(2,9),(4,7),(5,10),(6,8)] => [(1,6),(2,9),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,3),(4,10),(5,8),(6,9)] => [(1,3),(2,9),(4,8),(5,10),(6,7)] => [(1,6),(2,9),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,3),(4,10),(5,8),(7,9)] => [(1,3),(2,9),(4,8),(5,6),(7,10)] => [(1,4),(2,9),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,3),(4,10),(6,8),(7,9)] => [(1,3),(2,9),(4,5),(6,8),(7,10)] => [(1,4),(2,9),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,3),(5,10),(6,8),(7,9)] => [(1,3),(2,4),(5,9),(6,8),(7,10)] => [(1,4),(2,6),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0]
[(1,3),(2,4),(5,10),(6,8),(7,9)] => [(1,4),(2,3),(5,9),(6,8),(7,10)] => [(1,4),(2,6),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0]
[(1,2),(3,4),(5,10),(6,8),(7,9)] => [(1,2),(3,4),(5,9),(6,8),(7,10)] => [(1,4),(2,6),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0]
[(1,2),(3,4),(5,9),(6,8),(7,10)] => [(1,2),(3,4),(5,10),(6,8),(7,9)] => [(1,6),(2,4),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0]
[(1,3),(2,4),(5,9),(6,8),(7,10)] => [(1,4),(2,3),(5,10),(6,8),(7,9)] => [(1,6),(2,4),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0]
[(1,4),(2,3),(5,9),(6,8),(7,10)] => [(1,3),(2,4),(5,10),(6,8),(7,9)] => [(1,6),(2,4),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0]
[(1,5),(2,3),(4,9),(6,8),(7,10)] => [(1,3),(2,10),(4,5),(6,8),(7,9)] => [(1,9),(2,4),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,3),(4,9),(5,8),(7,10)] => [(1,3),(2,10),(4,8),(5,6),(7,9)] => [(1,9),(2,4),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,3),(4,9),(5,8),(6,10)] => [(1,3),(2,10),(4,8),(5,9),(6,7)] => [(1,9),(2,6),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,3),(4,9),(5,7),(6,10)] => [(1,3),(2,10),(4,7),(5,9),(6,8)] => [(1,9),(2,6),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,3),(4,8),(5,7),(6,10)] => [(1,3),(2,10),(4,7),(5,8),(6,9)] => [(1,9),(2,5),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,3),(4,8),(5,7),(6,9)] => [(1,3),(2,9),(4,7),(5,8),(6,10)] => [(1,5),(2,9),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,4),(3,8),(5,7),(6,9)] => [(1,9),(2,4),(3,7),(5,8),(6,10)] => [(1,5),(2,10),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,4),(3,8),(5,7),(6,10)] => [(1,10),(2,4),(3,7),(5,8),(6,9)] => [(1,10),(2,5),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,4),(3,9),(5,7),(6,10)] => [(1,10),(2,4),(3,7),(5,9),(6,8)] => [(1,10),(2,6),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,4),(3,9),(5,8),(6,10)] => [(1,10),(2,4),(3,8),(5,9),(6,7)] => [(1,10),(2,6),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(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)] => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,5),(3,9),(6,8),(7,10)] => [(1,10),(2,5),(3,4),(6,8),(7,9)] => [(1,10),(2,4),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,5),(4,9),(6,8),(7,10)] => [(1,10),(2,3),(4,5),(6,8),(7,9)] => [(1,10),(2,4),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,2),(3,5),(4,9),(6,8),(7,10)] => [(1,2),(3,10),(4,5),(6,8),(7,9)] => [(1,8),(2,4),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,2),(3,6),(4,9),(5,8),(7,10)] => [(1,2),(3,10),(4,8),(5,6),(7,9)] => [(1,8),(2,4),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,6),(4,9),(5,8),(7,10)] => [(1,10),(2,3),(4,8),(5,6),(7,9)] => [(1,10),(2,4),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,4),(2,6),(3,9),(5,8),(7,10)] => [(1,10),(2,8),(3,4),(5,6),(7,9)] => [(1,10),(2,4),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,6),(3,9),(4,8),(7,10)] => [(1,10),(2,8),(3,6),(4,5),(7,9)] => [(1,10),(2,4),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,5),(3,9),(4,8),(7,10)] => [(1,10),(2,8),(3,5),(4,6),(7,9)] => [(1,10),(2,4),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,5),(3,9),(4,8),(6,10)] => [(1,10),(2,8),(3,5),(4,9),(6,7)] => [(1,10),(2,7),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,8),(4,7),(6,10)] => [(1,10),(2,7),(3,5),(4,8),(6,9)] => [(1,10),(2,5),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,5),(3,8),(4,7),(6,9)] => [(1,9),(2,7),(3,5),(4,8),(6,10)] => [(1,5),(2,10),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,6),(3,8),(4,7),(5,9)] => [(1,9),(2,7),(3,8),(4,6),(5,10)] => [(1,6),(2,10),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,8),(4,7),(5,10)] => [(1,10),(2,7),(3,8),(4,6),(5,9)] => [(1,10),(2,6),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,9),(4,7),(5,10)] => [(1,10),(2,7),(3,9),(4,6),(5,8)] => [(1,10),(2,8),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,7),(3,9),(5,8),(6,10)] => [(1,10),(2,8),(3,4),(5,9),(6,7)] => [(1,10),(2,6),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,7),(4,9),(5,8),(6,10)] => [(1,10),(2,3),(4,8),(5,9),(6,7)] => [(1,10),(2,6),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,7),(4,9),(5,8),(6,10)] => [(1,2),(3,10),(4,8),(5,9),(6,7)] => [(1,8),(2,6),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,8),(4,9),(5,7),(6,10)] => [(1,2),(3,10),(4,7),(5,9),(6,8)] => [(1,8),(2,6),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,8),(4,9),(5,7),(6,10)] => [(1,10),(2,3),(4,7),(5,9),(6,8)] => [(1,10),(2,6),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,8),(3,9),(5,7),(6,10)] => [(1,10),(2,7),(3,4),(5,9),(6,8)] => [(1,10),(2,6),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,8),(3,9),(4,7),(6,10)] => [(1,10),(2,7),(3,9),(4,5),(6,8)] => [(1,10),(2,8),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,9),(4,7),(5,10)] => [(1,10),(2,7),(3,9),(4,8),(5,6)] => [(1,10),(2,8),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,9),(4,6),(5,10)] => [(1,10),(2,6),(3,9),(4,8),(5,7)] => [(1,10),(2,8),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,9),(4,6),(5,10)] => [(1,10),(2,6),(3,9),(4,7),(5,8)] => [(1,10),(2,8),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,8),(4,6),(5,9)] => [(1,9),(2,6),(3,8),(4,7),(5,10)] => [(1,6),(2,10),(3,8),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,7),(4,6),(5,9)] => [(1,9),(2,6),(3,7),(4,8),(5,10)] => [(1,6),(2,10),(3,7),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,7),(4,6),(5,10)] => [(1,10),(2,6),(3,7),(4,9),(5,8)] => [(1,10),(2,7),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,8),(4,6),(5,10)] => [(1,10),(2,6),(3,8),(4,9),(5,7)] => [(1,10),(2,7),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,9),(3,8),(4,7),(6,10)] => [(1,10),(2,7),(3,8),(4,5),(6,9)] => [(1,10),(2,5),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,9),(3,8),(5,7),(6,10)] => [(1,10),(2,7),(3,4),(5,8),(6,9)] => [(1,10),(2,5),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,9),(4,8),(5,7),(6,10)] => [(1,10),(2,3),(4,7),(5,8),(6,9)] => [(1,10),(2,5),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,9),(4,8),(5,7),(6,10)] => [(1,2),(3,10),(4,7),(5,8),(6,9)] => [(1,8),(2,5),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,10),(4,8),(5,7),(6,9)] => [(1,2),(3,9),(4,7),(5,8),(6,10)] => [(1,5),(2,8),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,10),(4,8),(5,7),(6,9)] => [(1,9),(2,3),(4,7),(5,8),(6,10)] => [(1,5),(2,10),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,10),(3,8),(5,7),(6,9)] => [(1,9),(2,7),(3,4),(5,8),(6,10)] => [(1,5),(2,10),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,10),(3,8),(4,7),(6,9)] => [(1,9),(2,7),(3,8),(4,5),(6,10)] => [(1,5),(2,10),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,8),(4,7),(5,9)] => [(1,9),(2,7),(3,8),(4,10),(5,6)] => [(1,7),(2,10),(3,8),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,8),(4,6),(5,9)] => [(1,9),(2,6),(3,8),(4,10),(5,7)] => [(1,7),(2,10),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,7),(4,6),(5,9)] => [(1,9),(2,6),(3,7),(4,10),(5,8)] => [(1,7),(2,10),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,7),(4,6),(5,8)] => [(1,8),(2,6),(3,7),(4,10),(5,9)] => [(1,7),(2,6),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,7),(4,6),(5,8)] => [(1,8),(2,6),(3,7),(4,9),(5,10)] => [(1,6),(2,7),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,6),(4,7),(5,8)] => [(1,8),(2,7),(3,6),(4,9),(5,10)] => [(1,6),(2,7),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,6),(4,7),(5,8)] => [(1,8),(2,7),(3,6),(4,10),(5,9)] => [(1,7),(2,6),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,6),(4,7),(5,9)] => [(1,9),(2,7),(3,6),(4,10),(5,8)] => [(1,7),(2,10),(3,6),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,6),(4,8),(5,9)] => [(1,9),(2,8),(3,6),(4,10),(5,7)] => [(1,7),(2,10),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,10),(3,7),(4,8),(5,9)] => [(1,9),(2,8),(3,7),(4,10),(5,6)] => [(1,7),(2,10),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,10),(3,7),(4,8),(6,9)] => [(1,9),(2,8),(3,7),(4,5),(6,10)] => [(1,5),(2,10),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,10),(3,7),(5,8),(6,9)] => [(1,9),(2,8),(3,4),(5,7),(6,10)] => [(1,5),(2,10),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,10),(4,7),(5,8),(6,9)] => [(1,9),(2,3),(4,8),(5,7),(6,10)] => [(1,5),(2,10),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,10),(4,7),(5,8),(6,9)] => [(1,2),(3,9),(4,8),(5,7),(6,10)] => [(1,5),(2,8),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,9),(4,7),(5,8),(6,10)] => [(1,2),(3,10),(4,8),(5,7),(6,9)] => [(1,8),(2,5),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,9),(4,7),(5,8),(6,10)] => [(1,10),(2,3),(4,8),(5,7),(6,9)] => [(1,10),(2,5),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,9),(3,7),(5,8),(6,10)] => [(1,10),(2,8),(3,4),(5,7),(6,9)] => [(1,10),(2,5),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,9),(3,7),(4,8),(6,10)] => [(1,10),(2,8),(3,7),(4,5),(6,9)] => [(1,10),(2,5),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,7),(4,8),(5,10)] => [(1,10),(2,8),(3,7),(4,9),(5,6)] => [(1,10),(2,7),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,6),(4,8),(5,10)] => [(1,10),(2,8),(3,6),(4,9),(5,7)] => [(1,10),(2,7),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,6),(4,7),(5,10)] => [(1,10),(2,7),(3,6),(4,8),(5,9)] => [(1,10),(2,6),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,6),(4,7),(5,9)] => [(1,9),(2,7),(3,6),(4,8),(5,10)] => [(1,6),(2,10),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,6),(4,8),(5,9)] => [(1,9),(2,8),(3,6),(4,7),(5,10)] => [(1,6),(2,10),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,6),(4,8),(5,10)] => [(1,10),(2,8),(3,6),(4,7),(5,9)] => [(1,10),(2,6),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,6),(4,9),(5,10)] => [(1,10),(2,9),(3,6),(4,8),(5,7)] => [(1,10),(2,9),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,8),(3,7),(4,9),(6,10)] => [(1,10),(2,9),(3,7),(4,5),(6,8)] => [(1,10),(2,9),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,8),(3,7),(5,9),(6,10)] => [(1,10),(2,9),(3,4),(5,7),(6,8)] => [(1,10),(2,9),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,8),(4,7),(5,9),(6,10)] => [(1,10),(2,3),(4,9),(5,7),(6,8)] => [(1,10),(2,7),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,8),(4,7),(5,9),(6,10)] => [(1,2),(3,10),(4,9),(5,7),(6,8)] => [(1,8),(2,7),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,7),(4,8),(5,9),(6,10)] => [(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,8),(2,7),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,7),(4,8),(5,9),(6,10)] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,7),(4,9),(5,10)] => [(1,10),(2,9),(3,7),(4,6),(5,8)] => [(1,10),(2,9),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,7),(4,8),(5,10)] => [(1,10),(2,8),(3,7),(4,6),(5,9)] => [(1,10),(2,6),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,6),(3,7),(4,8),(5,9)] => [(1,9),(2,8),(3,7),(4,6),(5,10)] => [(1,6),(2,10),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,5),(3,7),(4,8),(6,9)] => [(1,9),(2,8),(3,5),(4,7),(6,10)] => [(1,5),(2,10),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,7),(4,8),(6,10)] => [(1,10),(2,8),(3,5),(4,7),(6,9)] => [(1,10),(2,5),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,5),(3,8),(4,9),(6,10)] => [(1,10),(2,9),(3,5),(4,8),(6,7)] => [(1,10),(2,9),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,5),(3,8),(4,9),(7,10)] => [(1,10),(2,9),(3,5),(4,6),(7,8)] => [(1,10),(2,9),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,6),(3,8),(4,9),(7,10)] => [(1,10),(2,9),(3,6),(4,5),(7,8)] => [(1,10),(2,9),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,6),(4,8),(5,9),(7,10)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,6),(4,8),(5,9),(7,10)] => [(1,2),(3,10),(4,9),(5,6),(7,8)] => [(1,8),(2,7),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(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)] => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,4),(3,8),(6,9),(7,10)] => [(1,10),(2,4),(3,5),(6,9),(7,8)] => [(1,10),(2,5),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,4),(3,8),(5,9),(7,10)] => [(1,10),(2,4),(3,9),(5,6),(7,8)] => [(1,10),(2,8),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,8),(5,9),(6,10)] => [(1,10),(2,4),(3,9),(5,8),(6,7)] => [(1,10),(2,8),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,4),(3,7),(5,9),(6,10)] => [(1,10),(2,4),(3,9),(5,7),(6,8)] => [(1,10),(2,8),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,4),(3,7),(5,8),(6,10)] => [(1,10),(2,4),(3,8),(5,7),(6,9)] => [(1,10),(2,5),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,4),(3,7),(5,8),(6,9)] => [(1,9),(2,4),(3,8),(5,7),(6,10)] => [(1,5),(2,10),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,3),(4,7),(5,8),(6,9)] => [(1,3),(2,9),(4,8),(5,7),(6,10)] => [(1,5),(2,9),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,3),(4,7),(5,8),(6,10)] => [(1,3),(2,10),(4,8),(5,7),(6,9)] => [(1,9),(2,5),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,3),(4,7),(5,9),(6,10)] => [(1,3),(2,10),(4,9),(5,7),(6,8)] => [(1,9),(2,7),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,3),(4,8),(5,9),(6,10)] => [(1,3),(2,10),(4,9),(5,8),(6,7)] => [(1,9),(2,7),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,3),(4,8),(5,9),(7,10)] => [(1,3),(2,10),(4,9),(5,6),(7,8)] => [(1,9),(2,7),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,3),(4,8),(6,9),(7,10)] => [(1,3),(2,10),(4,5),(6,9),(7,8)] => [(1,9),(2,5),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,3),(5,8),(6,9),(7,10)] => [(1,3),(2,4),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0]
[(1,3),(2,4),(5,8),(6,9),(7,10)] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0]
[(1,2),(3,4),(5,8),(6,9),(7,10)] => [(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,6),(2,5),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0]
[(1,2),(3,4),(5,7),(6,9),(8,10)] => [(1,2),(3,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0]
[(1,3),(2,4),(5,7),(6,9),(8,10)] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0]
[(1,4),(2,3),(5,7),(6,9),(8,10)] => [(1,3),(2,4),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0]
[(1,5),(2,3),(4,7),(6,9),(8,10)] => [(1,3),(2,10),(4,5),(6,7),(8,9)] => [(1,9),(2,3),(4,5),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,7),(5,9),(8,10)] => [(1,3),(2,10),(4,7),(5,6),(8,9)] => [(1,9),(2,3),(4,7),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,6),(5,9),(8,10)] => [(1,3),(2,10),(4,6),(5,7),(8,9)] => [(1,9),(2,3),(4,6),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,6),(5,9),(7,10)] => [(1,3),(2,10),(4,6),(5,9),(7,8)] => [(1,9),(2,6),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,9),(2,3),(4,6),(5,8),(7,10)] => [(1,3),(2,10),(4,6),(5,8),(7,9)] => [(1,9),(2,4),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,3),(4,6),(5,8),(7,9)] => [(1,3),(2,9),(4,6),(5,8),(7,10)] => [(1,4),(2,9),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,4),(3,6),(5,8),(7,9)] => [(1,9),(2,4),(3,6),(5,8),(7,10)] => [(1,4),(2,10),(3,6),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,4),(3,6),(5,9),(7,10)] => [(1,10),(2,4),(3,6),(5,9),(7,8)] => [(1,10),(2,6),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,6),(5,9),(8,10)] => [(1,10),(2,4),(3,6),(5,7),(8,9)] => [(1,10),(2,3),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,6),(2,4),(3,7),(5,9),(8,10)] => [(1,10),(2,4),(3,7),(5,6),(8,9)] => [(1,10),(2,3),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,4),(3,7),(6,9),(8,10)] => [(1,10),(2,4),(3,5),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,5),(3,7),(6,9),(8,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9)] => [(1,10),(2,3),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(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)] => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,5),(4,7),(6,9),(8,10)] => [(1,2),(3,10),(4,5),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,2),(3,6),(4,7),(5,9),(8,10)] => [(1,2),(3,10),(4,7),(5,6),(8,9)] => [(1,8),(2,3),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,6),(3,7),(5,9),(8,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9)] => [(1,10),(2,3),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,6),(3,7),(4,9),(8,10)] => [(1,10),(2,7),(3,6),(4,5),(8,9)] => [(1,10),(2,3),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,7),(4,9),(8,10)] => [(1,10),(2,7),(3,5),(4,6),(8,9)] => [(1,10),(2,3),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,6),(4,9),(8,10)] => [(1,10),(2,6),(3,5),(4,7),(8,9)] => [(1,10),(2,3),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,6),(4,9),(7,10)] => [(1,10),(2,6),(3,5),(4,9),(7,8)] => [(1,10),(2,7),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,5),(3,6),(4,8),(7,10)] => [(1,10),(2,6),(3,5),(4,8),(7,9)] => [(1,10),(2,4),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,5),(3,6),(4,8),(7,9)] => [(1,9),(2,6),(3,5),(4,8),(7,10)] => [(1,4),(2,10),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,6),(3,5),(4,8),(7,9)] => [(1,9),(2,5),(3,6),(4,8),(7,10)] => [(1,4),(2,10),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,6),(3,5),(4,8),(7,10)] => [(1,10),(2,5),(3,6),(4,8),(7,9)] => [(1,10),(2,4),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,6),(3,5),(4,9),(7,10)] => [(1,10),(2,5),(3,6),(4,9),(7,8)] => [(1,10),(2,7),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,6),(3,5),(4,9),(8,10)] => [(1,10),(2,5),(3,6),(4,7),(8,9)] => [(1,10),(2,3),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,5),(4,9),(8,10)] => [(1,10),(2,5),(3,7),(4,6),(8,9)] => [(1,10),(2,3),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,5),(2,7),(3,6),(4,9),(8,10)] => [(1,10),(2,6),(3,7),(4,5),(8,9)] => [(1,10),(2,3),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,6),(5,9),(8,10)] => [(1,10),(2,6),(3,4),(5,7),(8,9)] => [(1,10),(2,3),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,7),(4,6),(5,9),(8,10)] => [(1,2),(3,10),(4,6),(5,7),(8,9)] => [(1,8),(2,3),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,8),(4,6),(5,9),(7,10)] => [(1,2),(3,10),(4,6),(5,9),(7,8)] => [(1,8),(2,6),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,8),(4,6),(5,9),(7,10)] => [(1,10),(2,3),(4,6),(5,9),(7,8)] => [(1,10),(2,6),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,8),(3,6),(4,9),(7,10)] => [(1,10),(2,6),(3,9),(4,5),(7,8)] => [(1,10),(2,8),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,8),(3,5),(4,9),(7,10)] => [(1,10),(2,5),(3,9),(4,6),(7,8)] => [(1,10),(2,8),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,8),(3,5),(4,9),(6,10)] => [(1,10),(2,5),(3,9),(4,8),(6,7)] => [(1,10),(2,8),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,5),(4,9),(6,10)] => [(1,10),(2,5),(3,9),(4,7),(6,8)] => [(1,10),(2,8),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,7),(3,5),(4,8),(6,9)] => [(1,9),(2,5),(3,8),(4,7),(6,10)] => [(1,5),(2,10),(3,8),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,8),(3,5),(4,7),(6,9)] => [(1,9),(2,5),(3,7),(4,8),(6,10)] => [(1,5),(2,10),(3,7),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,5),(4,7),(6,10)] => [(1,10),(2,5),(3,7),(4,9),(6,8)] => [(1,10),(2,7),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,9),(3,5),(4,8),(6,10)] => [(1,10),(2,5),(3,8),(4,9),(6,7)] => [(1,10),(2,7),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,5),(4,8),(7,10)] => [(1,10),(2,5),(3,8),(4,6),(7,9)] => [(1,10),(2,4),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,9),(3,6),(4,8),(7,10)] => [(1,10),(2,6),(3,8),(4,5),(7,9)] => [(1,10),(2,4),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,9),(3,6),(5,8),(7,10)] => [(1,10),(2,6),(3,4),(5,8),(7,9)] => [(1,10),(2,4),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,9),(4,6),(5,8),(7,10)] => [(1,10),(2,3),(4,6),(5,8),(7,9)] => [(1,10),(2,4),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,9),(4,6),(5,8),(7,10)] => [(1,2),(3,10),(4,6),(5,8),(7,9)] => [(1,8),(2,4),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,10),(4,6),(5,8),(7,9)] => [(1,2),(3,9),(4,6),(5,8),(7,10)] => [(1,4),(2,8),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,10),(4,6),(5,8),(7,9)] => [(1,9),(2,3),(4,6),(5,8),(7,10)] => [(1,4),(2,10),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,4),(2,10),(3,6),(5,8),(7,9)] => [(1,9),(2,6),(3,4),(5,8),(7,10)] => [(1,4),(2,10),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,10),(3,6),(4,8),(7,9)] => [(1,9),(2,6),(3,8),(4,5),(7,10)] => [(1,4),(2,10),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,10),(3,5),(4,8),(7,9)] => [(1,9),(2,5),(3,8),(4,6),(7,10)] => [(1,4),(2,10),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,10),(3,5),(4,8),(6,9)] => [(1,9),(2,5),(3,8),(4,10),(6,7)] => [(1,7),(2,10),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,5),(4,7),(6,9)] => [(1,9),(2,5),(3,7),(4,10),(6,8)] => [(1,7),(2,10),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,10),(3,5),(4,7),(6,8)] => [(1,8),(2,5),(3,7),(4,10),(6,9)] => [(1,7),(2,5),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,9),(3,5),(4,7),(6,8)] => [(1,8),(2,5),(3,7),(4,9),(6,10)] => [(1,5),(2,7),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,9),(3,4),(5,7),(6,8)] => [(1,4),(2,8),(3,7),(5,9),(6,10)] => [(1,5),(2,6),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,10),(3,4),(5,7),(6,8)] => [(1,4),(2,8),(3,7),(5,10),(6,9)] => [(1,6),(2,5),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,10),(3,4),(5,7),(6,9)] => [(1,4),(2,9),(3,7),(5,10),(6,8)] => [(1,6),(2,9),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,10),(3,4),(5,8),(6,9)] => [(1,4),(2,9),(3,8),(5,10),(6,7)] => [(1,6),(2,9),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(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)] => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,10),(3,5),(6,8),(7,9)] => [(1,5),(2,9),(3,4),(6,8),(7,10)] => [(1,4),(2,9),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,10),(4,5),(6,8),(7,9)] => [(1,5),(2,3),(4,9),(6,8),(7,10)] => [(1,4),(2,7),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,2),(3,10),(4,5),(6,8),(7,9)] => [(1,2),(3,5),(4,9),(6,8),(7,10)] => [(1,4),(2,7),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,2),(3,9),(4,5),(6,8),(7,10)] => [(1,2),(3,5),(4,10),(6,8),(7,9)] => [(1,7),(2,4),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,9),(4,5),(6,8),(7,10)] => [(1,5),(2,3),(4,10),(6,8),(7,9)] => [(1,7),(2,4),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,9),(3,5),(6,8),(7,10)] => [(1,5),(2,10),(3,4),(6,8),(7,9)] => [(1,9),(2,4),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,9),(3,4),(6,8),(7,10)] => [(1,4),(2,10),(3,5),(6,8),(7,9)] => [(1,9),(2,4),(3,5),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,9),(3,4),(5,8),(7,10)] => [(1,4),(2,10),(3,8),(5,6),(7,9)] => [(1,9),(2,4),(3,8),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,9),(3,4),(5,8),(6,10)] => [(1,4),(2,10),(3,8),(5,9),(6,7)] => [(1,9),(2,6),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,9),(3,4),(5,7),(6,10)] => [(1,4),(2,10),(3,7),(5,9),(6,8)] => [(1,9),(2,6),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,8),(3,4),(5,7),(6,10)] => [(1,4),(2,10),(3,7),(5,8),(6,9)] => [(1,9),(2,5),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,8),(3,4),(5,7),(6,9)] => [(1,4),(2,9),(3,7),(5,8),(6,10)] => [(1,5),(2,9),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,7),(3,4),(5,8),(6,9)] => [(1,4),(2,9),(3,8),(5,7),(6,10)] => [(1,5),(2,9),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,7),(3,4),(5,8),(6,10)] => [(1,4),(2,10),(3,8),(5,7),(6,9)] => [(1,9),(2,5),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,7),(3,4),(5,9),(6,10)] => [(1,4),(2,10),(3,9),(5,7),(6,8)] => [(1,9),(2,8),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,8),(3,4),(5,9),(6,10)] => [(1,4),(2,10),(3,9),(5,8),(6,7)] => [(1,9),(2,8),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,8),(3,4),(5,9),(7,10)] => [(1,4),(2,10),(3,9),(5,6),(7,8)] => [(1,9),(2,8),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,8),(3,4),(6,9),(7,10)] => [(1,4),(2,10),(3,5),(6,9),(7,8)] => [(1,9),(2,5),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,8),(3,5),(6,9),(7,10)] => [(1,5),(2,10),(3,4),(6,9),(7,8)] => [(1,9),(2,5),(3,4),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,8),(4,5),(6,9),(7,10)] => [(1,5),(2,3),(4,10),(6,9),(7,8)] => [(1,7),(2,5),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,2),(3,8),(4,5),(6,9),(7,10)] => [(1,2),(3,5),(4,10),(6,9),(7,8)] => [(1,7),(2,5),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,2),(3,7),(4,5),(6,9),(8,10)] => [(1,2),(3,5),(4,10),(6,7),(8,9)] => [(1,7),(2,3),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,3),(2,7),(4,5),(6,9),(8,10)] => [(1,5),(2,3),(4,10),(6,7),(8,9)] => [(1,7),(2,3),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,7),(3,5),(6,9),(8,10)] => [(1,5),(2,10),(3,4),(6,7),(8,9)] => [(1,9),(2,3),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(1,5),(2,7),(3,4),(6,9),(8,10)] => [(1,4),(2,10),(3,5),(6,7),(8,9)] => [(1,9),(2,3),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,7),(3,4),(5,9),(8,10)] => [(1,4),(2,10),(3,7),(5,6),(8,9)] => [(1,9),(2,3),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,6),(3,4),(5,9),(8,10)] => [(1,4),(2,10),(3,6),(5,7),(8,9)] => [(1,9),(2,3),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,6),(3,4),(5,9),(7,10)] => [(1,4),(2,10),(3,6),(5,9),(7,8)] => [(1,9),(2,6),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,6),(3,4),(5,8),(7,10)] => [(1,4),(2,10),(3,6),(5,8),(7,9)] => [(1,9),(2,4),(3,6),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,5),(3,4),(6,8),(7,9)] => [(1,4),(2,5),(3,9),(6,8),(7,10)] => [(1,4),(2,8),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,9),(2,5),(3,4),(6,8),(7,10)] => [(1,4),(2,5),(3,10),(6,8),(7,9)] => [(1,8),(2,4),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,8),(2,5),(3,4),(6,9),(7,10)] => [(1,4),(2,5),(3,10),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,7),(2,5),(3,4),(6,9),(8,10)] => [(1,4),(2,5),(3,10),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,5),(3,4),(7,9),(8,10)] => [(1,4),(2,5),(3,6),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0]
[(1,5),(2,6),(3,4),(7,9),(8,10)] => [(1,4),(2,6),(3,5),(7,10),(8,9)] => [(1,4),(2,3),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0]
[(1,4),(2,6),(3,5),(7,9),(8,10)] => [(1,5),(2,6),(3,4),(7,10),(8,9)] => [(1,4),(2,3),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0]
[(1,3),(2,6),(4,5),(7,9),(8,10)] => [(1,5),(2,3),(4,6),(7,10),(8,9)] => [(1,4),(2,3),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0]
[(1,2),(3,6),(4,5),(7,9),(8,10)] => [(1,2),(3,5),(4,6),(7,10),(8,9)] => [(1,4),(2,3),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0]
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0]
[(1,3),(2,5),(4,6),(7,9),(8,10)] => [(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0]
[(1,4),(2,5),(3,6),(7,9),(8,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0]
[(1,5),(2,4),(3,6),(7,9),(8,10)] => [(1,6),(2,4),(3,5),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0]
[(1,6),(2,4),(3,5),(7,9),(8,10)] => [(1,5),(2,4),(3,6),(7,10),(8,9)] => [(1,4),(2,3),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0]
[(1,7),(2,4),(3,5),(6,9),(8,10)] => [(1,5),(2,4),(3,10),(6,7),(8,9)] => [(1,8),(2,3),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,8),(2,4),(3,5),(6,9),(7,10)] => [(1,5),(2,4),(3,10),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,9),(2,4),(3,5),(6,8),(7,10)] => [(1,5),(2,4),(3,10),(6,8),(7,9)] => [(1,8),(2,4),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,10),(2,4),(3,5),(6,8),(7,9)] => [(1,5),(2,4),(3,9),(6,8),(7,10)] => [(1,4),(2,8),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,10),(2,3),(4,5),(6,8),(7,9)] => [(1,3),(2,5),(4,9),(6,8),(7,10)] => [(1,4),(2,7),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,9),(2,3),(4,5),(6,8),(7,10)] => [(1,3),(2,5),(4,10),(6,8),(7,9)] => [(1,7),(2,4),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,8),(2,3),(4,5),(6,9),(7,10)] => [(1,3),(2,5),(4,10),(6,9),(7,8)] => [(1,7),(2,5),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,7),(2,3),(4,5),(6,9),(8,10)] => [(1,3),(2,5),(4,10),(6,7),(8,9)] => [(1,7),(2,3),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,5),(7,9),(8,10)] => [(1,3),(2,5),(4,6),(7,10),(8,9)] => [(1,4),(2,3),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0]
[(1,5),(2,3),(4,6),(7,9),(8,10)] => [(1,3),(2,6),(4,5),(7,10),(8,9)] => [(1,4),(2,3),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0]
[(1,4),(2,3),(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)] => [1,1,0,0,1,0,1,1,0,0]
[(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)] => [1,1,0,0,1,0,1,1,0,0]
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0]
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0]
[(1,3),(2,4),(5,6),(7,10),(8,9)] => [(1,4),(2,3),(5,6),(7,9),(8,10)] => [(1,3),(2,4),(5,6),(7,10),(8,9)] => [1,1,0,0,1,0,1,1,0,0]
[(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)] => [1,1,0,0,1,0,1,1,0,0]
[(1,5),(2,3),(4,6),(7,10),(8,9)] => [(1,3),(2,6),(4,5),(7,9),(8,10)] => [(1,3),(2,4),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0]
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0]
[(1,7),(2,3),(4,5),(6,10),(8,9)] => [(1,3),(2,5),(4,9),(6,7),(8,10)] => [(1,3),(2,7),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0]
[(1,8),(2,3),(4,5),(6,10),(7,9)] => [(1,3),(2,5),(4,9),(6,10),(7,8)] => [(1,5),(2,7),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,9),(2,3),(4,5),(6,10),(7,8)] => [(1,3),(2,5),(4,8),(6,10),(7,9)] => [(1,5),(2,4),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [(1,3),(2,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,10),(2,4),(3,5),(6,9),(7,8)] => [(1,5),(2,4),(3,8),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(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)] => [1,1,1,0,0,1,1,0,0,0]
[(1,8),(2,4),(3,5),(6,10),(7,9)] => [(1,5),(2,4),(3,9),(6,10),(7,8)] => [(1,5),(2,8),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,7),(2,4),(3,5),(6,10),(8,9)] => [(1,5),(2,4),(3,9),(6,7),(8,10)] => [(1,3),(2,8),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,4),(3,5),(7,10),(8,9)] => [(1,5),(2,4),(3,6),(7,9),(8,10)] => [(1,3),(2,4),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0]
[(1,5),(2,4),(3,6),(7,10),(8,9)] => [(1,6),(2,4),(3,5),(7,9),(8,10)] => [(1,3),(2,4),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0]
[(1,4),(2,5),(3,6),(7,10),(8,9)] => [(1,6),(2,5),(3,4),(7,9),(8,10)] => [(1,3),(2,4),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0]
[(1,3),(2,5),(4,6),(7,10),(8,9)] => [(1,6),(2,3),(4,5),(7,9),(8,10)] => [(1,3),(2,4),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0]
[(1,2),(3,5),(4,6),(7,10),(8,9)] => [(1,2),(3,6),(4,5),(7,9),(8,10)] => [(1,3),(2,4),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0]
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [(1,2),(3,5),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0]
[(1,3),(2,6),(4,5),(7,10),(8,9)] => [(1,5),(2,3),(4,6),(7,9),(8,10)] => [(1,3),(2,4),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0]
[(1,4),(2,6),(3,5),(7,10),(8,9)] => [(1,5),(2,6),(3,4),(7,9),(8,10)] => [(1,3),(2,4),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0]
[(1,5),(2,6),(3,4),(7,10),(8,9)] => [(1,4),(2,6),(3,5),(7,9),(8,10)] => [(1,3),(2,4),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0]
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [(1,4),(2,5),(3,6),(7,9),(8,10)] => [(1,3),(2,4),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0]
[(1,7),(2,5),(3,4),(6,10),(8,9)] => [(1,4),(2,5),(3,9),(6,7),(8,10)] => [(1,3),(2,8),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,8),(2,5),(3,4),(6,10),(7,9)] => [(1,4),(2,5),(3,9),(6,10),(7,8)] => [(1,5),(2,8),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,9),(2,5),(3,4),(6,10),(7,8)] => [(1,4),(2,5),(3,8),(6,10),(7,9)] => [(1,5),(2,4),(3,8),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(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)] => [1,1,1,0,0,1,1,0,0,0]
[(1,10),(2,6),(3,4),(5,9),(7,8)] => [(1,4),(2,8),(3,6),(5,9),(7,10)] => [(1,4),(2,6),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,6),(3,4),(5,10),(7,8)] => [(1,4),(2,8),(3,6),(5,10),(7,9)] => [(1,6),(2,4),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,6),(3,4),(5,10),(7,9)] => [(1,4),(2,9),(3,6),(5,10),(7,8)] => [(1,6),(2,9),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,6),(3,4),(5,10),(8,9)] => [(1,4),(2,9),(3,6),(5,7),(8,10)] => [(1,3),(2,9),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,6),(2,7),(3,4),(5,10),(8,9)] => [(1,4),(2,9),(3,7),(5,6),(8,10)] => [(1,3),(2,9),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,4),(6,10),(8,9)] => [(1,4),(2,9),(3,5),(6,7),(8,10)] => [(1,3),(2,9),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,7),(3,5),(6,10),(8,9)] => [(1,5),(2,9),(3,4),(6,7),(8,10)] => [(1,3),(2,9),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(1,3),(2,7),(4,5),(6,10),(8,9)] => [(1,5),(2,3),(4,9),(6,7),(8,10)] => [(1,3),(2,7),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,7),(4,5),(6,10),(8,9)] => [(1,2),(3,5),(4,9),(6,7),(8,10)] => [(1,3),(2,7),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,2),(3,8),(4,5),(6,10),(7,9)] => [(1,2),(3,5),(4,9),(6,10),(7,8)] => [(1,5),(2,7),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,8),(4,5),(6,10),(7,9)] => [(1,5),(2,3),(4,9),(6,10),(7,8)] => [(1,5),(2,7),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(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)] => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,8),(3,4),(6,10),(7,9)] => [(1,4),(2,9),(3,5),(6,10),(7,8)] => [(1,5),(2,9),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,8),(3,4),(5,10),(7,9)] => [(1,4),(2,9),(3,10),(5,6),(7,8)] => [(1,8),(2,9),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,8),(3,4),(5,10),(6,9)] => [(1,4),(2,9),(3,10),(5,8),(6,7)] => [(1,8),(2,9),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,7),(3,4),(5,10),(6,9)] => [(1,4),(2,9),(3,10),(5,7),(6,8)] => [(1,8),(2,9),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,7),(3,4),(5,10),(6,8)] => [(1,4),(2,8),(3,10),(5,7),(6,9)] => [(1,8),(2,5),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,7),(3,4),(5,9),(6,8)] => [(1,4),(2,8),(3,9),(5,7),(6,10)] => [(1,5),(2,8),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,8),(3,4),(5,9),(6,7)] => [(1,4),(2,7),(3,9),(5,8),(6,10)] => [(1,5),(2,8),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,8),(3,4),(5,10),(6,7)] => [(1,4),(2,7),(3,10),(5,8),(6,9)] => [(1,8),(2,5),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,9),(3,4),(5,10),(6,7)] => [(1,4),(2,7),(3,10),(5,9),(6,8)] => [(1,8),(2,6),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,9),(3,4),(5,10),(6,8)] => [(1,4),(2,8),(3,10),(5,9),(6,7)] => [(1,8),(2,6),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,9),(3,4),(5,10),(7,8)] => [(1,4),(2,8),(3,10),(5,6),(7,9)] => [(1,8),(2,4),(3,9),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,9),(3,4),(6,10),(7,8)] => [(1,4),(2,8),(3,5),(6,10),(7,9)] => [(1,5),(2,4),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,9),(3,5),(6,10),(7,8)] => [(1,5),(2,8),(3,4),(6,10),(7,9)] => [(1,5),(2,4),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,9),(4,5),(6,10),(7,8)] => [(1,5),(2,3),(4,8),(6,10),(7,9)] => [(1,5),(2,4),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,2),(3,9),(4,5),(6,10),(7,8)] => [(1,2),(3,5),(4,8),(6,10),(7,9)] => [(1,5),(2,4),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [(1,2),(3,5),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,10),(4,5),(6,9),(7,8)] => [(1,5),(2,3),(4,8),(6,9),(7,10)] => [(1,4),(2,5),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,10),(3,5),(6,9),(7,8)] => [(1,5),(2,8),(3,4),(6,9),(7,10)] => [(1,4),(2,5),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,10),(3,4),(6,9),(7,8)] => [(1,4),(2,8),(3,5),(6,9),(7,10)] => [(1,4),(2,5),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,10),(3,4),(5,9),(6,8)] => [(1,4),(2,8),(3,9),(5,10),(6,7)] => [(1,6),(2,8),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,10),(3,4),(5,9),(6,7)] => [(1,4),(2,7),(3,9),(5,10),(6,8)] => [(1,6),(2,8),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,10),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,10),(6,9)] => [(1,6),(2,5),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [(1,4),(2,7),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,9),(3,5),(4,8),(6,7)] => [(1,7),(2,5),(3,8),(4,9),(6,10)] => [(1,5),(2,7),(3,8),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,5),(4,9),(6,7)] => [(1,7),(2,5),(3,9),(4,10),(6,8)] => [(1,7),(2,8),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,10),(3,5),(4,9),(6,8)] => [(1,8),(2,5),(3,9),(4,10),(6,7)] => [(1,7),(2,8),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,5),(4,9),(7,8)] => [(1,8),(2,5),(3,9),(4,6),(7,10)] => [(1,4),(2,8),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,10),(3,6),(4,9),(7,8)] => [(1,8),(2,6),(3,9),(4,5),(7,10)] => [(1,4),(2,8),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,10),(3,6),(5,9),(7,8)] => [(1,8),(2,6),(3,4),(5,9),(7,10)] => [(1,4),(2,6),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,10),(4,6),(5,9),(7,8)] => [(1,8),(2,3),(4,6),(5,9),(7,10)] => [(1,4),(2,6),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,10),(4,6),(5,9),(7,8)] => [(1,2),(3,8),(4,6),(5,9),(7,10)] => [(1,4),(2,6),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,9),(4,6),(5,10),(7,8)] => [(1,2),(3,8),(4,6),(5,10),(7,9)] => [(1,6),(2,4),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,9),(4,6),(5,10),(7,8)] => [(1,8),(2,3),(4,6),(5,10),(7,9)] => [(1,6),(2,4),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,4),(2,9),(3,6),(5,10),(7,8)] => [(1,8),(2,6),(3,4),(5,10),(7,9)] => [(1,6),(2,4),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,9),(3,6),(4,10),(7,8)] => [(1,8),(2,6),(3,10),(4,5),(7,9)] => [(1,8),(2,4),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,9),(3,5),(4,10),(7,8)] => [(1,8),(2,5),(3,10),(4,6),(7,9)] => [(1,8),(2,4),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,9),(3,5),(4,10),(6,8)] => [(1,8),(2,5),(3,10),(4,9),(6,7)] => [(1,8),(2,7),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,5),(4,10),(6,7)] => [(1,7),(2,5),(3,10),(4,9),(6,8)] => [(1,8),(2,7),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,8),(3,5),(4,10),(6,7)] => [(1,7),(2,5),(3,10),(4,8),(6,9)] => [(1,8),(2,5),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,8),(3,5),(4,9),(6,7)] => [(1,7),(2,5),(3,9),(4,8),(6,10)] => [(1,5),(2,8),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,7),(3,5),(4,9),(6,8)] => [(1,8),(2,5),(3,9),(4,7),(6,10)] => [(1,5),(2,8),(3,10),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,5),(4,10),(6,9)] => [(1,9),(2,5),(3,10),(4,7),(6,8)] => [(1,8),(2,10),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,8),(3,5),(4,10),(6,9)] => [(1,9),(2,5),(3,10),(4,8),(6,7)] => [(1,8),(2,10),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,5),(4,10),(7,9)] => [(1,9),(2,5),(3,10),(4,6),(7,8)] => [(1,8),(2,10),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,8),(3,6),(4,10),(7,9)] => [(1,9),(2,6),(3,10),(4,5),(7,8)] => [(1,8),(2,10),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,8),(3,6),(5,10),(7,9)] => [(1,9),(2,6),(3,4),(5,10),(7,8)] => [(1,6),(2,10),(3,4),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,8),(4,6),(5,10),(7,9)] => [(1,9),(2,3),(4,6),(5,10),(7,8)] => [(1,6),(2,10),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,8),(4,6),(5,10),(7,9)] => [(1,2),(3,9),(4,6),(5,10),(7,8)] => [(1,6),(2,8),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,7),(4,6),(5,10),(8,9)] => [(1,2),(3,9),(4,6),(5,7),(8,10)] => [(1,3),(2,8),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,3),(2,7),(4,6),(5,10),(8,9)] => [(1,9),(2,3),(4,6),(5,7),(8,10)] => [(1,3),(2,10),(4,6),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,7),(3,6),(5,10),(8,9)] => [(1,9),(2,6),(3,4),(5,7),(8,10)] => [(1,3),(2,10),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,6),(4,10),(8,9)] => [(1,9),(2,6),(3,7),(4,5),(8,10)] => [(1,3),(2,10),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,5),(4,10),(8,9)] => [(1,9),(2,5),(3,7),(4,6),(8,10)] => [(1,3),(2,10),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,5),(4,10),(8,9)] => [(1,9),(2,5),(3,6),(4,7),(8,10)] => [(1,3),(2,10),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,5),(4,10),(7,9)] => [(1,9),(2,5),(3,6),(4,10),(7,8)] => [(1,7),(2,10),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,6),(3,5),(4,10),(7,8)] => [(1,8),(2,5),(3,6),(4,10),(7,9)] => [(1,7),(2,4),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,6),(3,5),(4,9),(7,8)] => [(1,8),(2,5),(3,6),(4,9),(7,10)] => [(1,4),(2,7),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,5),(3,6),(4,9),(7,8)] => [(1,8),(2,6),(3,5),(4,9),(7,10)] => [(1,4),(2,7),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,5),(3,6),(4,10),(7,8)] => [(1,8),(2,6),(3,5),(4,10),(7,9)] => [(1,7),(2,4),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,5),(3,6),(4,10),(7,9)] => [(1,9),(2,6),(3,5),(4,10),(7,8)] => [(1,7),(2,10),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,5),(3,6),(4,10),(8,9)] => [(1,9),(2,6),(3,5),(4,7),(8,10)] => [(1,3),(2,10),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,7),(4,10),(8,9)] => [(1,9),(2,7),(3,5),(4,6),(8,10)] => [(1,3),(2,10),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0]
[(1,5),(2,6),(3,7),(4,10),(8,9)] => [(1,9),(2,7),(3,6),(4,5),(8,10)] => [(1,3),(2,10),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,6),(3,7),(5,10),(8,9)] => [(1,9),(2,7),(3,4),(5,6),(8,10)] => [(1,3),(2,10),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0]
[(1,3),(2,6),(4,7),(5,10),(8,9)] => [(1,9),(2,3),(4,7),(5,6),(8,10)] => [(1,3),(2,10),(4,7),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,6),(4,7),(5,10),(8,9)] => [(1,2),(3,9),(4,7),(5,6),(8,10)] => [(1,3),(2,8),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,5),(4,7),(6,10),(8,9)] => [(1,2),(3,9),(4,5),(6,7),(8,10)] => [(1,3),(2,8),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0]
[(1,3),(2,5),(4,7),(6,10),(8,9)] => [(1,9),(2,3),(4,5),(6,7),(8,10)] => [(1,3),(2,10),(4,5),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,5),(3,7),(6,10),(8,9)] => [(1,9),(2,5),(3,4),(6,7),(8,10)] => [(1,3),(2,10),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0]
[(1,5),(2,4),(3,7),(6,10),(8,9)] => [(1,9),(2,4),(3,5),(6,7),(8,10)] => [(1,3),(2,10),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,4),(3,7),(5,10),(8,9)] => [(1,9),(2,4),(3,7),(5,6),(8,10)] => [(1,3),(2,10),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,6),(5,10),(8,9)] => [(1,9),(2,4),(3,6),(5,7),(8,10)] => [(1,3),(2,10),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,4),(3,6),(5,10),(7,9)] => [(1,9),(2,4),(3,6),(5,10),(7,8)] => [(1,6),(2,10),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,4),(3,6),(5,10),(7,8)] => [(1,8),(2,4),(3,6),(5,10),(7,9)] => [(1,6),(2,4),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,4),(3,6),(5,9),(7,8)] => [(1,8),(2,4),(3,6),(5,9),(7,10)] => [(1,4),(2,6),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,3),(4,6),(5,9),(7,8)] => [(1,3),(2,8),(4,6),(5,9),(7,10)] => [(1,4),(2,6),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,9),(2,3),(4,6),(5,10),(7,8)] => [(1,3),(2,8),(4,6),(5,10),(7,9)] => [(1,6),(2,4),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,3),(4,6),(5,10),(7,9)] => [(1,3),(2,9),(4,6),(5,10),(7,8)] => [(1,6),(2,9),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(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)] => [1,1,0,1,1,0,0,1,0,0]
[(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)] => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,3),(5,7),(6,10),(8,9)] => [(1,3),(2,4),(5,9),(6,7),(8,10)] => [(1,3),(2,6),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0]
[(1,3),(2,4),(5,7),(6,10),(8,9)] => [(1,4),(2,3),(5,9),(6,7),(8,10)] => [(1,3),(2,6),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0]
[(1,2),(3,4),(5,7),(6,10),(8,9)] => [(1,2),(3,4),(5,9),(6,7),(8,10)] => [(1,3),(2,6),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0]
[(1,2),(3,4),(5,8),(6,10),(7,9)] => [(1,2),(3,4),(5,9),(6,10),(7,8)] => [(1,5),(2,6),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0]
[(1,3),(2,4),(5,8),(6,10),(7,9)] => [(1,4),(2,3),(5,9),(6,10),(7,8)] => [(1,5),(2,6),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0]
[(1,4),(2,3),(5,8),(6,10),(7,9)] => [(1,3),(2,4),(5,9),(6,10),(7,8)] => [(1,5),(2,6),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0]
[(1,5),(2,3),(4,8),(6,10),(7,9)] => [(1,3),(2,9),(4,5),(6,10),(7,8)] => [(1,5),(2,9),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,3),(4,8),(5,10),(7,9)] => [(1,3),(2,9),(4,10),(5,6),(7,8)] => [(1,7),(2,9),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,3),(4,8),(5,10),(6,9)] => [(1,3),(2,9),(4,10),(5,8),(6,7)] => [(1,7),(2,9),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,3),(4,7),(5,10),(6,9)] => [(1,3),(2,9),(4,10),(5,7),(6,8)] => [(1,7),(2,9),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,3),(4,7),(5,10),(6,8)] => [(1,3),(2,8),(4,10),(5,7),(6,9)] => [(1,7),(2,5),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,3),(4,7),(5,9),(6,8)] => [(1,3),(2,8),(4,9),(5,7),(6,10)] => [(1,5),(2,7),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,4),(3,7),(5,9),(6,8)] => [(1,8),(2,4),(3,9),(5,7),(6,10)] => [(1,5),(2,8),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,4),(3,7),(5,10),(6,8)] => [(1,8),(2,4),(3,10),(5,7),(6,9)] => [(1,8),(2,5),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,4),(3,7),(5,10),(6,9)] => [(1,9),(2,4),(3,10),(5,7),(6,8)] => [(1,8),(2,10),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,4),(3,8),(5,10),(6,9)] => [(1,9),(2,4),(3,10),(5,8),(6,7)] => [(1,8),(2,10),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,4),(3,8),(5,10),(7,9)] => [(1,9),(2,4),(3,10),(5,6),(7,8)] => [(1,8),(2,10),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,4),(3,8),(6,10),(7,9)] => [(1,9),(2,4),(3,5),(6,10),(7,8)] => [(1,5),(2,10),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,5),(3,8),(6,10),(7,9)] => [(1,9),(2,5),(3,4),(6,10),(7,8)] => [(1,5),(2,10),(3,4),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,5),(4,8),(6,10),(7,9)] => [(1,9),(2,3),(4,5),(6,10),(7,8)] => [(1,5),(2,10),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,2),(3,5),(4,8),(6,10),(7,9)] => [(1,2),(3,9),(4,5),(6,10),(7,8)] => [(1,5),(2,8),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,2),(3,6),(4,8),(5,10),(7,9)] => [(1,2),(3,9),(4,10),(5,6),(7,8)] => [(1,7),(2,8),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,6),(4,8),(5,10),(7,9)] => [(1,9),(2,3),(4,10),(5,6),(7,8)] => [(1,7),(2,10),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,6),(3,8),(4,10),(7,9)] => [(1,9),(2,10),(3,6),(4,5),(7,8)] => [(1,9),(2,10),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,5),(3,8),(4,10),(7,9)] => [(1,9),(2,10),(3,5),(4,6),(7,8)] => [(1,9),(2,10),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,5),(3,8),(4,10),(6,9)] => [(1,9),(2,10),(3,5),(4,8),(6,7)] => [(1,9),(2,10),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,7),(4,10),(6,8)] => [(1,8),(2,10),(3,5),(4,7),(6,9)] => [(1,9),(2,5),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,5),(3,7),(4,9),(6,8)] => [(1,8),(2,9),(3,5),(4,7),(6,10)] => [(1,5),(2,9),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,6),(3,7),(4,9),(5,8)] => [(1,8),(2,9),(3,7),(4,6),(5,10)] => [(1,6),(2,9),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,7),(4,10),(5,8)] => [(1,8),(2,10),(3,7),(4,6),(5,9)] => [(1,9),(2,6),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,7),(4,10),(5,9)] => [(1,9),(2,10),(3,7),(4,6),(5,8)] => [(1,9),(2,10),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,7),(3,8),(5,10),(6,9)] => [(1,9),(2,10),(3,4),(5,8),(6,7)] => [(1,9),(2,10),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,7),(4,8),(5,10),(6,9)] => [(1,9),(2,3),(4,10),(5,8),(6,7)] => [(1,7),(2,10),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,7),(4,8),(5,10),(6,9)] => [(1,2),(3,9),(4,10),(5,8),(6,7)] => [(1,7),(2,8),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,8),(4,7),(5,10),(6,9)] => [(1,2),(3,9),(4,10),(5,7),(6,8)] => [(1,7),(2,8),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,8),(4,7),(5,10),(6,9)] => [(1,9),(2,3),(4,10),(5,7),(6,8)] => [(1,7),(2,10),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,8),(3,7),(5,10),(6,9)] => [(1,9),(2,10),(3,4),(5,7),(6,8)] => [(1,9),(2,10),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,8),(3,7),(4,10),(6,9)] => [(1,9),(2,10),(3,7),(4,5),(6,8)] => [(1,9),(2,10),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,6),(4,10),(5,9)] => [(1,9),(2,10),(3,6),(4,8),(5,7)] => [(1,9),(2,10),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,6),(4,10),(5,8)] => [(1,8),(2,10),(3,6),(4,7),(5,9)] => [(1,9),(2,6),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,6),(4,9),(5,8)] => [(1,8),(2,9),(3,6),(4,7),(5,10)] => [(1,6),(2,9),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,6),(4,9),(5,7)] => [(1,7),(2,9),(3,6),(4,8),(5,10)] => [(1,6),(2,9),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,6),(4,10),(5,7)] => [(1,7),(2,10),(3,6),(4,8),(5,9)] => [(1,9),(2,6),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,6),(4,10),(5,7)] => [(1,7),(2,10),(3,6),(4,9),(5,8)] => [(1,9),(2,7),(3,6),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,6),(4,10),(5,8)] => [(1,8),(2,10),(3,6),(4,9),(5,7)] => [(1,9),(2,7),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,9),(3,7),(4,10),(5,8)] => [(1,8),(2,10),(3,7),(4,9),(5,6)] => [(1,9),(2,7),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,9),(3,7),(4,10),(6,8)] => [(1,8),(2,10),(3,7),(4,5),(6,9)] => [(1,9),(2,5),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,9),(3,7),(5,10),(6,8)] => [(1,8),(2,10),(3,4),(5,7),(6,9)] => [(1,9),(2,5),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,9),(4,7),(5,10),(6,8)] => [(1,8),(2,3),(4,10),(5,7),(6,9)] => [(1,7),(2,5),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,9),(4,7),(5,10),(6,8)] => [(1,2),(3,8),(4,10),(5,7),(6,9)] => [(1,7),(2,5),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,10),(4,7),(5,9),(6,8)] => [(1,2),(3,8),(4,9),(5,7),(6,10)] => [(1,5),(2,7),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,10),(4,7),(5,9),(6,8)] => [(1,8),(2,3),(4,9),(5,7),(6,10)] => [(1,5),(2,7),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,10),(3,7),(5,9),(6,8)] => [(1,8),(2,9),(3,4),(5,7),(6,10)] => [(1,5),(2,9),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,10),(3,7),(4,9),(6,8)] => [(1,8),(2,9),(3,7),(4,5),(6,10)] => [(1,5),(2,9),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,7),(4,9),(5,8)] => [(1,8),(2,9),(3,7),(4,10),(5,6)] => [(1,7),(2,9),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,6),(4,9),(5,8)] => [(1,8),(2,9),(3,6),(4,10),(5,7)] => [(1,7),(2,9),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,6),(4,8),(5,7)] => [(1,7),(2,8),(3,6),(4,10),(5,9)] => [(1,7),(2,6),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,6),(4,8),(5,7)] => [(1,7),(2,8),(3,6),(4,9),(5,10)] => [(1,6),(2,7),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,7),(4,8),(5,6)] => [(1,6),(2,8),(3,7),(4,9),(5,10)] => [(1,6),(2,7),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,7),(4,8),(5,6)] => [(1,6),(2,8),(3,7),(4,10),(5,9)] => [(1,7),(2,6),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,7),(4,9),(5,6)] => [(1,6),(2,9),(3,7),(4,10),(5,8)] => [(1,7),(2,9),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,8),(4,9),(5,6)] => [(1,6),(2,9),(3,8),(4,10),(5,7)] => [(1,7),(2,9),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,10),(3,8),(4,9),(6,7)] => [(1,7),(2,9),(3,8),(4,5),(6,10)] => [(1,5),(2,9),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,10),(3,8),(5,9),(6,7)] => [(1,7),(2,9),(3,4),(5,8),(6,10)] => [(1,5),(2,9),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,10),(4,8),(5,9),(6,7)] => [(1,7),(2,3),(4,9),(5,8),(6,10)] => [(1,5),(2,7),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,10),(4,8),(5,9),(6,7)] => [(1,2),(3,7),(4,9),(5,8),(6,10)] => [(1,5),(2,7),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,9),(4,8),(5,10),(6,7)] => [(1,2),(3,7),(4,10),(5,8),(6,9)] => [(1,7),(2,5),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,9),(4,8),(5,10),(6,7)] => [(1,7),(2,3),(4,10),(5,8),(6,9)] => [(1,7),(2,5),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,9),(3,8),(5,10),(6,7)] => [(1,7),(2,10),(3,4),(5,8),(6,9)] => [(1,9),(2,5),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,9),(3,8),(4,10),(6,7)] => [(1,7),(2,10),(3,8),(4,5),(6,9)] => [(1,9),(2,5),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,8),(4,10),(5,7)] => [(1,7),(2,10),(3,8),(4,9),(5,6)] => [(1,9),(2,7),(3,8),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,8),(4,10),(5,6)] => [(1,6),(2,10),(3,8),(4,9),(5,7)] => [(1,9),(2,7),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,7),(4,10),(5,6)] => [(1,6),(2,10),(3,7),(4,9),(5,8)] => [(1,9),(2,7),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,7),(4,10),(5,6)] => [(1,6),(2,10),(3,7),(4,8),(5,9)] => [(1,9),(2,6),(3,7),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,8),(4,10),(5,6)] => [(1,6),(2,10),(3,8),(4,7),(5,9)] => [(1,9),(2,6),(3,8),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,9),(4,10),(5,6)] => [(1,6),(2,10),(3,9),(4,7),(5,8)] => [(1,9),(2,8),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,9),(4,10),(5,6)] => [(1,6),(2,10),(3,9),(4,8),(5,7)] => [(1,9),(2,8),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,8),(3,9),(4,10),(5,7)] => [(1,7),(2,10),(3,9),(4,8),(5,6)] => [(1,9),(2,8),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,8),(3,9),(4,10),(6,7)] => [(1,7),(2,10),(3,9),(4,5),(6,8)] => [(1,9),(2,8),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,8),(3,9),(5,10),(6,7)] => [(1,7),(2,10),(3,4),(5,9),(6,8)] => [(1,9),(2,6),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,8),(4,9),(5,10),(6,7)] => [(1,7),(2,3),(4,10),(5,9),(6,8)] => [(1,7),(2,6),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,8),(4,9),(5,10),(6,7)] => [(1,2),(3,7),(4,10),(5,9),(6,8)] => [(1,7),(2,6),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,7),(4,9),(5,10),(6,8)] => [(1,2),(3,8),(4,10),(5,9),(6,7)] => [(1,7),(2,6),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,7),(4,9),(5,10),(6,8)] => [(1,8),(2,3),(4,10),(5,9),(6,7)] => [(1,7),(2,6),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,7),(3,9),(5,10),(6,8)] => [(1,8),(2,10),(3,4),(5,9),(6,7)] => [(1,9),(2,6),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,7),(3,9),(4,10),(6,8)] => [(1,8),(2,10),(3,9),(4,5),(6,7)] => [(1,9),(2,8),(3,10),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,7),(3,9),(4,10),(5,8)] => [(1,8),(2,10),(3,9),(4,7),(5,6)] => [(1,9),(2,8),(3,10),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,9),(4,10),(5,8)] => [(1,8),(2,10),(3,9),(4,6),(5,7)] => [(1,9),(2,8),(3,10),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,9),(4,10),(5,7)] => [(1,7),(2,10),(3,9),(4,6),(5,8)] => [(1,9),(2,8),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,8),(4,10),(5,7)] => [(1,7),(2,10),(3,8),(4,6),(5,9)] => [(1,9),(2,6),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,6),(3,8),(4,9),(5,7)] => [(1,7),(2,9),(3,8),(4,6),(5,10)] => [(1,6),(2,9),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,5),(3,8),(4,9),(6,7)] => [(1,7),(2,9),(3,5),(4,8),(6,10)] => [(1,5),(2,9),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,8),(4,10),(6,7)] => [(1,7),(2,10),(3,5),(4,8),(6,9)] => [(1,9),(2,5),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,9),(4,10),(6,7)] => [(1,7),(2,10),(3,5),(4,9),(6,8)] => [(1,9),(2,7),(3,5),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,5),(3,9),(4,10),(6,8)] => [(1,8),(2,10),(3,5),(4,9),(6,7)] => [(1,9),(2,7),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,5),(3,9),(4,10),(7,8)] => [(1,8),(2,10),(3,5),(4,6),(7,9)] => [(1,9),(2,4),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,6),(3,9),(4,10),(7,8)] => [(1,8),(2,10),(3,6),(4,5),(7,9)] => [(1,9),(2,4),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,6),(3,9),(5,10),(7,8)] => [(1,8),(2,10),(3,4),(5,6),(7,9)] => [(1,9),(2,4),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,6),(4,9),(5,10),(7,8)] => [(1,8),(2,3),(4,10),(5,6),(7,9)] => [(1,7),(2,4),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,2),(3,6),(4,9),(5,10),(7,8)] => [(1,2),(3,8),(4,10),(5,6),(7,9)] => [(1,7),(2,4),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,2),(3,5),(4,9),(6,10),(7,8)] => [(1,2),(3,8),(4,5),(6,10),(7,9)] => [(1,5),(2,4),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,5),(4,9),(6,10),(7,8)] => [(1,8),(2,3),(4,5),(6,10),(7,9)] => [(1,5),(2,4),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,5),(3,9),(6,10),(7,8)] => [(1,8),(2,5),(3,4),(6,10),(7,9)] => [(1,5),(2,4),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,4),(3,9),(6,10),(7,8)] => [(1,8),(2,4),(3,5),(6,10),(7,9)] => [(1,5),(2,4),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(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)] => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,9),(5,10),(6,8)] => [(1,8),(2,4),(3,10),(5,9),(6,7)] => [(1,8),(2,6),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,4),(3,9),(5,10),(6,7)] => [(1,7),(2,4),(3,10),(5,9),(6,8)] => [(1,8),(2,6),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,4),(3,8),(5,10),(6,7)] => [(1,7),(2,4),(3,10),(5,8),(6,9)] => [(1,8),(2,5),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,4),(3,8),(5,9),(6,7)] => [(1,7),(2,4),(3,9),(5,8),(6,10)] => [(1,5),(2,8),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,3),(4,8),(5,9),(6,7)] => [(1,3),(2,7),(4,9),(5,8),(6,10)] => [(1,5),(2,7),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,3),(4,8),(5,10),(6,7)] => [(1,3),(2,7),(4,10),(5,8),(6,9)] => [(1,7),(2,5),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,3),(4,9),(5,10),(6,7)] => [(1,3),(2,7),(4,10),(5,9),(6,8)] => [(1,7),(2,6),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,3),(4,9),(5,10),(6,8)] => [(1,3),(2,8),(4,10),(5,9),(6,7)] => [(1,7),(2,6),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,3),(4,9),(5,10),(7,8)] => [(1,3),(2,8),(4,10),(5,6),(7,9)] => [(1,7),(2,4),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,3),(4,9),(6,10),(7,8)] => [(1,3),(2,8),(4,5),(6,10),(7,9)] => [(1,5),(2,4),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,3),(5,9),(6,10),(7,8)] => [(1,3),(2,4),(5,8),(6,10),(7,9)] => [(1,5),(2,4),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0]
[(1,3),(2,4),(5,9),(6,10),(7,8)] => [(1,4),(2,3),(5,8),(6,10),(7,9)] => [(1,5),(2,4),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0]
[(1,2),(3,4),(5,9),(6,10),(7,8)] => [(1,2),(3,4),(5,8),(6,10),(7,9)] => [(1,5),(2,4),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0]
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [(1,2),(3,4),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0]
[(1,3),(2,4),(5,10),(6,9),(7,8)] => [(1,4),(2,3),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0]
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [(1,3),(2,4),(5,8),(6,9),(7,10)] => [(1,4),(2,5),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0]
[(1,5),(2,3),(4,10),(6,9),(7,8)] => [(1,3),(2,8),(4,5),(6,9),(7,10)] => [(1,4),(2,5),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,3),(4,10),(5,9),(7,8)] => [(1,3),(2,8),(4,9),(5,6),(7,10)] => [(1,4),(2,7),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,3),(4,10),(5,9),(6,8)] => [(1,3),(2,8),(4,9),(5,10),(6,7)] => [(1,6),(2,7),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,3),(4,10),(5,9),(6,7)] => [(1,3),(2,7),(4,9),(5,10),(6,8)] => [(1,6),(2,7),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,3),(4,10),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,10),(6,9)] => [(1,6),(2,5),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [(1,3),(2,7),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,4),(3,9),(5,8),(6,7)] => [(1,7),(2,4),(3,8),(5,9),(6,10)] => [(1,5),(2,6),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,4),(3,10),(5,8),(6,7)] => [(1,7),(2,4),(3,8),(5,10),(6,9)] => [(1,6),(2,5),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,4),(3,10),(5,9),(6,7)] => [(1,7),(2,4),(3,9),(5,10),(6,8)] => [(1,6),(2,8),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,4),(3,10),(5,9),(6,8)] => [(1,8),(2,4),(3,9),(5,10),(6,7)] => [(1,6),(2,8),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,4),(3,10),(5,9),(7,8)] => [(1,8),(2,4),(3,9),(5,6),(7,10)] => [(1,4),(2,8),(3,10),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,4),(3,10),(6,9),(7,8)] => [(1,8),(2,4),(3,5),(6,9),(7,10)] => [(1,4),(2,5),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,5),(3,10),(6,9),(7,8)] => [(1,8),(2,5),(3,4),(6,9),(7,10)] => [(1,4),(2,5),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,5),(4,10),(6,9),(7,8)] => [(1,8),(2,3),(4,5),(6,9),(7,10)] => [(1,4),(2,5),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0]
[(1,2),(3,5),(4,10),(6,9),(7,8)] => [(1,2),(3,8),(4,5),(6,9),(7,10)] => [(1,4),(2,5),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0]
[(1,2),(3,6),(4,10),(5,9),(7,8)] => [(1,2),(3,8),(4,9),(5,6),(7,10)] => [(1,4),(2,7),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,6),(4,10),(5,9),(7,8)] => [(1,8),(2,3),(4,9),(5,6),(7,10)] => [(1,4),(2,7),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0]
[(1,4),(2,6),(3,10),(5,9),(7,8)] => [(1,8),(2,9),(3,4),(5,6),(7,10)] => [(1,4),(2,9),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,6),(3,10),(4,9),(7,8)] => [(1,8),(2,9),(3,6),(4,5),(7,10)] => [(1,4),(2,9),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,5),(3,10),(4,9),(7,8)] => [(1,8),(2,9),(3,5),(4,6),(7,10)] => [(1,4),(2,9),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,5),(3,10),(4,9),(6,8)] => [(1,8),(2,9),(3,5),(4,10),(6,7)] => [(1,7),(2,9),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,10),(4,8),(6,7)] => [(1,7),(2,8),(3,5),(4,10),(6,9)] => [(1,7),(2,5),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,5),(3,9),(4,8),(6,7)] => [(1,7),(2,8),(3,5),(4,9),(6,10)] => [(1,5),(2,7),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,6),(3,9),(4,8),(5,7)] => [(1,7),(2,8),(3,9),(4,6),(5,10)] => [(1,6),(2,8),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,10),(4,8),(5,7)] => [(1,7),(2,8),(3,10),(4,6),(5,9)] => [(1,8),(2,6),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,10),(4,9),(5,7)] => [(1,7),(2,9),(3,10),(4,6),(5,8)] => [(1,8),(2,9),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,7),(3,10),(5,9),(6,8)] => [(1,8),(2,9),(3,4),(5,10),(6,7)] => [(1,6),(2,9),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,7),(4,10),(5,9),(6,8)] => [(1,8),(2,3),(4,9),(5,10),(6,7)] => [(1,6),(2,7),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,7),(4,10),(5,9),(6,8)] => [(1,2),(3,8),(4,9),(5,10),(6,7)] => [(1,6),(2,7),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,8),(4,10),(5,9),(6,7)] => [(1,2),(3,7),(4,9),(5,10),(6,8)] => [(1,6),(2,7),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,8),(4,10),(5,9),(6,7)] => [(1,7),(2,3),(4,9),(5,10),(6,8)] => [(1,6),(2,7),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,8),(3,10),(5,9),(6,7)] => [(1,7),(2,9),(3,4),(5,10),(6,8)] => [(1,6),(2,9),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,8),(3,10),(4,9),(6,7)] => [(1,7),(2,9),(3,10),(4,5),(6,8)] => [(1,8),(2,9),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,10),(4,9),(5,7)] => [(1,7),(2,9),(3,10),(4,8),(5,6)] => [(1,8),(2,9),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,10),(4,9),(5,6)] => [(1,6),(2,9),(3,10),(4,8),(5,7)] => [(1,8),(2,9),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,10),(4,9),(5,6)] => [(1,6),(2,9),(3,10),(4,7),(5,8)] => [(1,8),(2,9),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,10),(4,8),(5,6)] => [(1,6),(2,8),(3,10),(4,7),(5,9)] => [(1,8),(2,6),(3,9),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,9),(4,7),(5,6)] => [(1,6),(2,7),(3,9),(4,8),(5,10)] => [(1,6),(2,8),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,10),(4,7),(5,6)] => [(1,6),(2,7),(3,10),(4,8),(5,9)] => [(1,8),(2,6),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,10),(4,7),(5,6)] => [(1,6),(2,7),(3,10),(4,9),(5,8)] => [(1,8),(2,7),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,10),(4,8),(5,6)] => [(1,6),(2,8),(3,10),(4,9),(5,7)] => [(1,8),(2,7),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,9),(3,10),(4,8),(5,7)] => [(1,7),(2,8),(3,10),(4,9),(5,6)] => [(1,8),(2,7),(3,9),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,9),(3,10),(4,8),(6,7)] => [(1,7),(2,8),(3,10),(4,5),(6,9)] => [(1,8),(2,5),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,9),(3,10),(5,8),(6,7)] => [(1,7),(2,8),(3,4),(5,10),(6,9)] => [(1,6),(2,5),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,3),(2,9),(4,10),(5,8),(6,7)] => [(1,7),(2,3),(4,8),(5,10),(6,9)] => [(1,6),(2,5),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,2),(3,9),(4,10),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,10),(6,9)] => [(1,6),(2,5),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [(1,2),(3,7),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0]
[(1,3),(2,10),(4,9),(5,8),(6,7)] => [(1,7),(2,3),(4,8),(5,9),(6,10)] => [(1,5),(2,6),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,10),(3,9),(5,8),(6,7)] => [(1,7),(2,8),(3,4),(5,9),(6,10)] => [(1,5),(2,6),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,10),(3,9),(4,8),(6,7)] => [(1,7),(2,8),(3,9),(4,5),(6,10)] => [(1,5),(2,8),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,9),(4,8),(5,6)] => [(1,6),(2,8),(3,9),(4,10),(5,7)] => [(1,7),(2,8),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,9),(4,7),(5,6)] => [(1,6),(2,7),(3,9),(4,10),(5,8)] => [(1,7),(2,8),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,8),(4,7),(5,6)] => [(1,6),(2,7),(3,8),(4,10),(5,9)] => [(1,7),(2,6),(3,8),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0]
[(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)] => [1,1,1,1,1,0,0,0,0,0]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [1,0,1,0,1,0,1,0,1,0,1,0]
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [1,1,1,1,1,1,0,0,0,0,0,0]
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
reverse
Description
The reverse of a perfect matching of $\{1,2,...,n\}$.
This is the perfect matching obtained by replacing $i$ by $n+1-i$.
This is the perfect matching obtained by replacing $i$ by $n+1-i$.
Map
to Dyck path
Description
The Dyck path corresponding to the opener-closer sequence of the perfect matching.
searching the database
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