Identifier
Mp00113:
Perfect matchings
—reverse⟶
Perfect matchings
Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Images
[(1,2)] => [(1,2)] => [1,0] => [[]]
[(1,2),(3,4)] => [(1,2),(3,4)] => [1,0,1,0] => [[],[]]
[(1,3),(2,4)] => [(1,3),(2,4)] => [1,1,0,0] => [[[]]]
[(1,4),(2,3)] => [(1,4),(2,3)] => [1,1,0,0] => [[[]]]
[(1,2),(3,4),(5,6)] => [(1,2),(3,4),(5,6)] => [1,0,1,0,1,0] => [[],[],[]]
[(1,3),(2,4),(5,6)] => [(1,2),(3,5),(4,6)] => [1,0,1,1,0,0] => [[],[[]]]
[(1,4),(2,3),(5,6)] => [(1,2),(3,6),(4,5)] => [1,0,1,1,0,0] => [[],[[]]]
[(1,5),(2,3),(4,6)] => [(1,3),(2,6),(4,5)] => [1,1,0,1,0,0] => [[[],[]]]
[(1,6),(2,3),(4,5)] => [(1,6),(2,3),(4,5)] => [1,1,0,1,0,0] => [[[],[]]]
[(1,6),(2,4),(3,5)] => [(1,6),(2,4),(3,5)] => [1,1,1,0,0,0] => [[[[]]]]
[(1,5),(2,4),(3,6)] => [(1,4),(2,6),(3,5)] => [1,1,1,0,0,0] => [[[[]]]]
[(1,4),(2,5),(3,6)] => [(1,4),(2,5),(3,6)] => [1,1,1,0,0,0] => [[[[]]]]
[(1,3),(2,5),(4,6)] => [(1,3),(2,5),(4,6)] => [1,1,0,1,0,0] => [[[],[]]]
[(1,2),(3,5),(4,6)] => [(1,3),(2,4),(5,6)] => [1,1,0,0,1,0] => [[[]],[]]
[(1,2),(3,6),(4,5)] => [(1,4),(2,3),(5,6)] => [1,1,0,0,1,0] => [[[]],[]]
[(1,3),(2,6),(4,5)] => [(1,5),(2,3),(4,6)] => [1,1,0,1,0,0] => [[[],[]]]
[(1,4),(2,6),(3,5)] => [(1,5),(2,4),(3,6)] => [1,1,1,0,0,0] => [[[[]]]]
[(1,5),(2,6),(3,4)] => [(1,5),(2,6),(3,4)] => [1,1,1,0,0,0] => [[[[]]]]
[(1,6),(2,5),(3,4)] => [(1,6),(2,5),(3,4)] => [1,1,1,0,0,0] => [[[[]]]]
[(1,2),(3,4),(5,6),(7,8)] => [(1,2),(3,4),(5,6),(7,8)] => [1,0,1,0,1,0,1,0] => [[],[],[],[]]
[(1,3),(2,4),(5,6),(7,8)] => [(1,2),(3,4),(5,7),(6,8)] => [1,0,1,0,1,1,0,0] => [[],[],[[]]]
[(1,4),(2,3),(5,6),(7,8)] => [(1,2),(3,4),(5,8),(6,7)] => [1,0,1,0,1,1,0,0] => [[],[],[[]]]
[(1,5),(2,3),(4,6),(7,8)] => [(1,2),(3,5),(4,8),(6,7)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]]
[(1,6),(2,3),(4,5),(7,8)] => [(1,2),(3,8),(4,5),(6,7)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]]
[(1,7),(2,3),(4,5),(6,8)] => [(1,3),(2,8),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]]
[(1,8),(2,3),(4,5),(6,7)] => [(1,8),(2,3),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]]
[(1,8),(2,4),(3,5),(6,7)] => [(1,8),(2,3),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,7),(2,4),(3,5),(6,8)] => [(1,3),(2,8),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,6),(2,4),(3,5),(7,8)] => [(1,2),(3,8),(4,6),(5,7)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]]
[(1,5),(2,4),(3,6),(7,8)] => [(1,2),(3,6),(4,8),(5,7)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]]
[(1,4),(2,5),(3,6),(7,8)] => [(1,2),(3,6),(4,7),(5,8)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]]
[(1,3),(2,5),(4,6),(7,8)] => [(1,2),(3,5),(4,7),(6,8)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]]
[(1,2),(3,5),(4,6),(7,8)] => [(1,2),(3,5),(4,6),(7,8)] => [1,0,1,1,0,0,1,0] => [[],[[]],[]]
[(1,2),(3,6),(4,5),(7,8)] => [(1,2),(3,6),(4,5),(7,8)] => [1,0,1,1,0,0,1,0] => [[],[[]],[]]
[(1,3),(2,6),(4,5),(7,8)] => [(1,2),(3,7),(4,5),(6,8)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]]
[(1,4),(2,6),(3,5),(7,8)] => [(1,2),(3,7),(4,6),(5,8)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]]
[(1,5),(2,6),(3,4),(7,8)] => [(1,2),(3,7),(4,8),(5,6)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]]
[(1,6),(2,5),(3,4),(7,8)] => [(1,2),(3,8),(4,7),(5,6)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]]
[(1,7),(2,5),(3,4),(6,8)] => [(1,3),(2,8),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,8),(2,5),(3,4),(6,7)] => [(1,8),(2,3),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,8),(2,6),(3,4),(5,7)] => [(1,8),(2,4),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,7),(2,6),(3,4),(5,8)] => [(1,4),(2,8),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,6),(2,7),(3,4),(5,8)] => [(1,4),(2,7),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,5),(2,7),(3,4),(6,8)] => [(1,3),(2,7),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,4),(2,7),(3,5),(6,8)] => [(1,3),(2,7),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,3),(2,7),(4,5),(6,8)] => [(1,3),(2,7),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]]
[(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),(3,8),(4,5),(6,7)] => [(1,6),(2,3),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [[[],[]],[]]
[(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),(2,8),(3,5),(6,7)] => [(1,7),(2,3),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,5),(2,8),(3,4),(6,7)] => [(1,7),(2,3),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,6),(2,8),(3,4),(5,7)] => [(1,7),(2,4),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,7),(2,8),(3,4),(5,6)] => [(1,7),(2,8),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,8),(2,7),(3,4),(5,6)] => [(1,8),(2,7),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,8),(2,7),(3,5),(4,6)] => [(1,8),(2,7),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,7),(2,8),(3,5),(4,6)] => [(1,7),(2,8),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,6),(2,8),(3,5),(4,7)] => [(1,7),(2,5),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,5),(2,8),(3,6),(4,7)] => [(1,7),(2,5),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,4),(2,8),(3,6),(5,7)] => [(1,7),(2,4),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,3),(2,8),(4,6),(5,7)] => [(1,7),(2,4),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,2),(3,8),(4,6),(5,7)] => [(1,6),(2,4),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]]
[(1,2),(3,7),(4,6),(5,8)] => [(1,4),(2,6),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]]
[(1,3),(2,7),(4,6),(5,8)] => [(1,4),(2,7),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,4),(2,7),(3,6),(5,8)] => [(1,4),(2,7),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,5),(2,7),(3,6),(4,8)] => [(1,5),(2,7),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,6),(2,7),(3,5),(4,8)] => [(1,5),(2,7),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,7),(2,6),(3,5),(4,8)] => [(1,5),(2,8),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,8),(2,6),(3,5),(4,7)] => [(1,8),(2,5),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,8),(2,5),(3,6),(4,7)] => [(1,8),(2,5),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,7),(2,5),(3,6),(4,8)] => [(1,5),(2,8),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,6),(2,5),(3,7),(4,8)] => [(1,5),(2,6),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,5),(2,6),(3,7),(4,8)] => [(1,5),(2,6),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,4),(2,6),(3,7),(5,8)] => [(1,4),(2,6),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,3),(2,6),(4,7),(5,8)] => [(1,4),(2,5),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,2),(3,6),(4,7),(5,8)] => [(1,4),(2,5),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]]
[(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),(2,5),(4,7),(6,8)] => [(1,3),(2,5),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]]
[(1,4),(2,5),(3,7),(6,8)] => [(1,3),(2,6),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,5),(2,4),(3,7),(6,8)] => [(1,3),(2,6),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(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),(3,6),(5,8)] => [(1,4),(2,8),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(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),(2,3),(4,6),(5,7)] => [(1,8),(2,4),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,7),(2,3),(4,6),(5,8)] => [(1,4),(2,8),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,6),(2,3),(4,7),(5,8)] => [(1,4),(2,5),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(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),(2,3),(5,7),(6,8)] => [(1,3),(2,4),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]]
[(1,3),(2,4),(5,7),(6,8)] => [(1,3),(2,4),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]]
[(1,2),(3,4),(5,7),(6,8)] => [(1,3),(2,4),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [[[]],[],[]]
[(1,2),(3,4),(5,8),(6,7)] => [(1,4),(2,3),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [[[]],[],[]]
[(1,3),(2,4),(5,8),(6,7)] => [(1,4),(2,3),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]]
[(1,4),(2,3),(5,8),(6,7)] => [(1,4),(2,3),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]]
[(1,5),(2,3),(4,8),(6,7)] => [(1,5),(2,3),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]]
[(1,6),(2,3),(4,8),(5,7)] => [(1,5),(2,4),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,7),(2,3),(4,8),(5,6)] => [(1,5),(2,8),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,8),(2,3),(4,7),(5,6)] => [(1,8),(2,5),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,8),(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),(3,8),(5,6)] => [(1,6),(2,8),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,6),(2,4),(3,8),(5,7)] => [(1,6),(2,4),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,5),(2,4),(3,8),(6,7)] => [(1,6),(2,3),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
[(1,4),(2,5),(3,8),(6,7)] => [(1,6),(2,3),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]]
>>> Load all 1202 entries. <<<
[(1,3),(2,5),(4,8),(6,7)] => [(1,5),(2,3),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]]
[(1,2),(3,5),(4,8),(6,7)] => [(1,5),(2,3),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [[[],[]],[]]
[(1,2),(3,6),(4,8),(5,7)] => [(1,5),(2,4),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]]
[(1,3),(2,6),(4,8),(5,7)] => [(1,5),(2,4),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,4),(2,6),(3,8),(5,7)] => [(1,6),(2,4),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,5),(2,6),(3,8),(4,7)] => [(1,6),(2,5),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,6),(2,5),(3,8),(4,7)] => [(1,6),(2,5),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,7),(2,5),(3,8),(4,6)] => [(1,6),(2,8),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,8),(2,5),(3,7),(4,6)] => [(1,8),(2,6),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,8),(2,6),(3,7),(4,5)] => [(1,8),(2,6),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,7),(2,6),(3,8),(4,5)] => [(1,6),(2,8),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,6),(2,7),(3,8),(4,5)] => [(1,6),(2,7),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,5),(2,7),(3,8),(4,6)] => [(1,6),(2,7),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,4),(2,7),(3,8),(5,6)] => [(1,6),(2,7),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]]
[(1,3),(2,7),(4,8),(5,6)] => [(1,5),(2,7),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(1,2),(3,7),(4,8),(5,6)] => [(1,5),(2,6),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]]
[(1,2),(3,8),(4,7),(5,6)] => [(1,6),(2,5),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]]
[(1,3),(2,8),(4,7),(5,6)] => [(1,7),(2,5),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]]
[(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),(2,8),(3,7),(4,6)] => [(1,7),(2,6),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,6),(2,8),(3,7),(4,5)] => [(1,7),(2,6),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,7),(2,8),(3,6),(4,5)] => [(1,7),(2,8),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,8),(2,7),(3,6),(4,5)] => [(1,8),(2,7),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]]
[(1,2),(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)] => [(1,2),(3,4),(5,6),(7,9),(8,10)] => [1,0,1,0,1,0,1,1,0,0] => [[],[],[],[[]]]
[(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] => [[],[],[],[[]]]
[(1,5),(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] => [[],[],[[],[]]]
[(1,6),(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] => [[],[],[[],[]]]
[(1,7),(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] => [[],[[],[],[]]]
[(1,8),(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] => [[],[[],[],[]]]
[(1,9),(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] => [[[],[],[],[]]]
[(1,10),(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] => [[[],[],[],[]]]
[(1,10),(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] => [[[],[],[[]]]]
[(1,9),(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] => [[[],[],[[]]]]
[(1,8),(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] => [[],[[],[[]]]]
[(1,7),(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] => [[],[[],[[]]]]
[(1,6),(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] => [[],[],[[[]]]]
[(1,5),(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] => [[],[],[[[]]]]
[(1,4),(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] => [[],[],[[[]]]]
[(1,3),(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] => [[],[],[[],[]]]
[(1,2),(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] => [[],[],[[]],[]]
[(1,2),(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] => [[],[],[[]],[]]
[(1,3),(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] => [[],[],[[],[]]]
[(1,4),(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] => [[],[],[[[]]]]
[(1,5),(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] => [[],[],[[[]]]]
[(1,6),(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] => [[],[],[[[]]]]
[(1,7),(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] => [[],[[],[[]]]]
[(1,8),(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] => [[],[[],[[]]]]
[(1,9),(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] => [[[],[],[[]]]]
[(1,10),(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] => [[[],[],[[]]]]
[(1,10),(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] => [[[],[[],[]]]]
[(1,9),(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] => [[[],[[],[]]]]
[(1,8),(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] => [[],[[[],[]]]]
[(1,7),(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] => [[],[[[],[]]]]
[(1,6),(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),(2,7),(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] => [[],[[],[[]]]]
[(1,4),(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] => [[],[[],[[]]]]
[(1,3),(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] => [[],[[],[],[]]]
[(1,2),(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),(3,8),(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),(2,8),(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),(2,8),(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] => [[],[[],[[]]]]
[(1,5),(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] => [[],[[],[[]]]]
[(1,6),(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] => [[],[[[],[]]]]
[(1,7),(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] => [[],[[[],[]]]]
[(1,8),(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] => [[],[[[],[]]]]
[(1,9),(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] => [[[],[[],[]]]]
[(1,10),(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] => [[[],[[],[]]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,8),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[],[[],[]]]]
[(1,6),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[],[[]]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,2),(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] => [[[],[],[]],[]]
[(1,2),(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] => [[[],[],[]],[]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,5),(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] => [[[],[],[[]]]]
[(1,6),(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] => [[[],[[],[]]]]
[(1,7),(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] => [[[],[[],[]]]]
[(1,8),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,3),(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] => [[[],[[]],[]]]
[(1,2),(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),(3,9),(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),(2,9),(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] => [[[],[[]],[]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,5),(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),(2,9),(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] => [[[],[[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[],[[[]]]]]
[(1,9),(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] => [[[],[[[]]]]]
[(1,8),(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] => [[],[[[[]]]]]
[(1,7),(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] => [[],[[[[]]]]]
[(1,6),(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] => [[],[[[[]]]]]
[(1,5),(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] => [[],[[[[]]]]]
[(1,4),(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] => [[],[[[],[]]]]
[(1,3),(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] => [[],[[[]],[]]]
[(1,2),(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] => [[],[[[]]],[]]
[(1,2),(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] => [[],[[[]]],[]]
[(1,3),(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] => [[],[[[]],[]]]
[(1,4),(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] => [[],[[[],[]]]]
[(1,5),(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] => [[],[[[[]]]]]
[(1,6),(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] => [[],[[[[]]]]]
[(1,7),(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] => [[],[[[[]]]]]
[(1,8),(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] => [[],[[[[]]]]]
[(1,9),(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] => [[[],[[[]]]]]
[(1,10),(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] => [[[],[[[]]]]]
[(1,10),(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] => [[[],[[[]]]]]
[(1,9),(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),(2,5),(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] => [[],[[[[]]]]]
[(1,7),(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] => [[],[[[[]]]]]
[(1,6),(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] => [[],[[[[]]]]]
[(1,5),(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] => [[],[[[[]]]]]
[(1,4),(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] => [[],[[[],[]]]]
[(1,3),(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] => [[],[[[]],[]]]
[(1,2),(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] => [[],[[[]]],[]]
[(1,2),(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),(2,5),(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] => [[],[[],[],[]]]
[(1,4),(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] => [[],[[],[[]]]]
[(1,5),(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] => [[],[[],[[]]]]
[(1,6),(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),(3,6),(5,8),(9,10)] => [(1,2),(3,6),(4,10),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [[],[[[],[]]]]
[(1,8),(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] => [[],[[[],[]]]]
[(1,9),(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] => [[[],[[],[]]]]
[(1,10),(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] => [[[],[[],[]]]]
[(1,10),(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] => [[[],[[]],[]]]
[(1,9),(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] => [[[],[[]],[]]]
[(1,8),(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] => [[],[[[]],[]]]
[(1,7),(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] => [[],[[[]],[]]]
[(1,6),(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] => [[],[[[]],[]]]
[(1,5),(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),(2,3),(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] => [[],[[]],[[]]]
[(1,3),(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] => [[],[[]],[[]]]
[(1,2),(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] => [[],[[]],[],[]]
[(1,2),(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] => [[],[[]],[],[]]
[(1,3),(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] => [[],[[]],[[]]]
[(1,4),(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] => [[],[[]],[[]]]
[(1,5),(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] => [[],[[],[],[]]]
[(1,6),(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] => [[],[[[]],[]]]
[(1,7),(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] => [[],[[[]],[]]]
[(1,8),(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] => [[],[[[]],[]]]
[(1,9),(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] => [[[],[[]],[]]]
[(1,10),(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] => [[[],[[]],[]]]
[(1,10),(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] => [[[],[[],[]]]]
[(1,9),(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] => [[[],[[],[]]]]
[(1,8),(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),(3,8),(5,6),(9,10)] => [(1,2),(3,8),(4,10),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [[],[[[],[]]]]
[(1,6),(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] => [[],[[[],[]]]]
[(1,5),(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] => [[],[[],[[]]]]
[(1,4),(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] => [[],[[],[[]]]]
[(1,3),(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] => [[],[[],[],[]]]
[(1,2),(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),(3,6),(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] => [[],[[[]]],[]]
[(1,3),(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] => [[],[[[]],[]]]
[(1,4),(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] => [[],[[[],[]]]]
[(1,5),(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] => [[],[[[[]]]]]
[(1,6),(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] => [[],[[[[]]]]]
[(1,7),(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] => [[],[[[[]]]]]
[(1,8),(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] => [[],[[[[]]]]]
[(1,9),(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] => [[[],[[[]]]]]
[(1,10),(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] => [[[],[[[]]]]]
[(1,10),(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] => [[[],[[[]]]]]
[(1,9),(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] => [[[],[[[]]]]]
[(1,8),(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] => [[],[[[[]]]]]
[(1,7),(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] => [[],[[[[]]]]]
[(1,6),(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] => [[],[[[[]]]]]
[(1,5),(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] => [[],[[[[]]]]]
[(1,4),(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] => [[],[[[],[]]]]
[(1,3),(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] => [[],[[[]],[]]]
[(1,2),(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] => [[],[[[]]],[]]
[(1,2),(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] => [[],[[[]]],[]]
[(1,3),(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] => [[],[[[]],[]]]
[(1,4),(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),(2,8),(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] => [[],[[[[]]]]]
[(1,6),(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] => [[],[[[[]]]]]
[(1,7),(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] => [[],[[[[]]]]]
[(1,8),(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] => [[],[[[[]]]]]
[(1,9),(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] => [[[],[[[]]]]]
[(1,10),(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] => [[[],[[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,7),(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),(2,9),(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] => [[[],[[[]]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,3),(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] => [[[],[[]],[]]]
[(1,2),(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),(3,10),(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),(2,10),(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] => [[[],[[]],[]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,7),(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),(2,10),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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),(2,9),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,7),(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),(2,8),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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),(2,7),(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] => [[[],[[]],[]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,3),(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] => [[[],[[]],[]]]
[(1,2),(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),(3,5),(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] => [[[],[],[]],[]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,5),(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),(3,9),(5,7),(8,10)] => [(1,3),(2,8),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]]
[(1,7),(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] => [[[],[[],[]]]]
[(1,8),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[],[]],[]]]
[(1,9),(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] => [[[[],[]],[]]]
[(1,8),(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] => [[[[],[]],[]]]
[(1,7),(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] => [[[],[[]],[]]]
[(1,6),(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] => [[[],[[]],[]]]
[(1,5),(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] => [[[],[],[],[]]]
[(1,4),(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] => [[[],[]],[[]]]
[(1,3),(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] => [[[],[]],[[]]]
[(1,2),(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),(5,10),(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),(5,10),(6,7),(8,9)] => [(1,6),(2,3),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[]]]
[(1,4),(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] => [[[],[]],[[]]]
[(1,5),(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] => [[[],[],[],[]]]
[(1,6),(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] => [[[],[[]],[]]]
[(1,7),(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] => [[[],[[]],[]]]
[(1,8),(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] => [[[[],[]],[]]]
[(1,9),(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] => [[[[],[]],[]]]
[(1,10),(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] => [[[[],[]],[]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,8),(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),(3,10),(5,6),(8,9)] => [(1,8),(2,3),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]]
[(1,6),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[],[[]]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,2),(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] => [[[],[],[]],[]]
[(1,2),(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),(2,6),(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] => [[[],[[]],[]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,5),(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),(2,5),(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] => [[[],[[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,7),(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),(2,7),(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] => [[[],[[[]]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,3),(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] => [[[],[[]],[]]]
[(1,2),(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),(3,8),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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),(2,8),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,7),(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),(2,9),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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),(2,10),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,9),(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),(2,9),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,7),(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),(2,7),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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),(2,5),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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),(2,5),(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] => [[[[]],[],[]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]]],[]]]
[(1,9),(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] => [[[[[]]],[]]]
[(1,8),(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] => [[[[[]]],[]]]
[(1,7),(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] => [[[[[]]],[]]]
[(1,6),(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] => [[[[],[]],[]]]
[(1,5),(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),(2,3),(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] => [[[[]]],[[]]]
[(1,3),(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] => [[[[]]],[[]]]
[(1,2),(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] => [[[[]]],[],[]]
[(1,2),(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] => [[[[]]],[],[]]
[(1,3),(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] => [[[[]]],[[]]]
[(1,4),(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] => [[[[]]],[[]]]
[(1,5),(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] => [[[[]],[],[]]]
[(1,6),(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] => [[[[],[]],[]]]
[(1,7),(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] => [[[[[]]],[]]]
[(1,8),(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] => [[[[[]]],[]]]
[(1,9),(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] => [[[[[]]],[]]]
[(1,10),(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] => [[[[[]]],[]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,3),(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] => [[[[]],[],[]]]
[(1,2),(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),(3,6),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,8),(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),(2,5),(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),(2,5),(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),(2,6),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,8),(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),(2,8),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,10),(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),(2,10),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,9),(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),(2,9),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,7),(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),(2,7),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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),(2,5),(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] => [[[[]],[],[]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]]],[]]]
[(1,9),(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] => [[[[[]]],[]]]
[(1,8),(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] => [[[[[]]],[]]]
[(1,7),(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] => [[[[[]]],[]]]
[(1,6),(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] => [[[[],[]],[]]]
[(1,5),(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),(2,3),(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] => [[[[]]],[[]]]
[(1,3),(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] => [[[[]]],[[]]]
[(1,2),(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] => [[[[]]],[],[]]
[(1,2),(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),(5,7),(6,9),(8,10)] => [(1,3),(2,5),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [[[],[]],[[]]]
[(1,4),(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] => [[[],[]],[[]]]
[(1,5),(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] => [[[],[],[],[]]]
[(1,6),(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] => [[[],[[]],[]]]
[(1,7),(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] => [[[],[[]],[]]]
[(1,8),(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] => [[[[],[]],[]]]
[(1,9),(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] => [[[[],[]],[]]]
[(1,10),(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] => [[[[],[]],[]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,8),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[],[[],[]]]]
[(1,6),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[],[[]]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,2),(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] => [[[],[],[]],[]]
[(1,2),(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),(2,6),(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] => [[[],[[]],[]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,3),(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] => [[[],[[]],[]]]
[(1,2),(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),(3,8),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,8),(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),(2,7),(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),(2,7),(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),(2,8),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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),(2,10),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,6),(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),(2,10),(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] => [[[[]],[[]]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,3),(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] => [[[[]],[],[]]]
[(1,2),(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),(3,9),(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),(2,9),(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),(2,9),(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] => [[[[]],[[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,6),(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),(2,8),(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] => [[[[]],[[]]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,3),(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] => [[[[]],[],[]]]
[(1,2),(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),(3,7),(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] => [[[],[],[]],[]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,5),(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] => [[[],[],[[]]]]
[(1,6),(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] => [[[],[[],[]]]]
[(1,7),(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] => [[[],[[],[]]]]
[(1,8),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[]],[[]]]]
[(1,9),(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] => [[[[]],[[]]]]
[(1,8),(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] => [[[[]],[[]]]]
[(1,7),(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] => [[[],[],[[]]]]
[(1,6),(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] => [[[]],[[[]]]]
[(1,5),(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] => [[[]],[[[]]]]
[(1,4),(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] => [[[]],[[[]]]]
[(1,3),(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] => [[[]],[[],[]]]
[(1,2),(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),(3,5),(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),(2,5),(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] => [[[]],[[],[]]]
[(1,4),(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] => [[[]],[[[]]]]
[(1,5),(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] => [[[]],[[[]]]]
[(1,6),(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] => [[[]],[[[]]]]
[(1,7),(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] => [[[],[],[[]]]]
[(1,8),(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] => [[[[]],[[]]]]
[(1,9),(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] => [[[[]],[[]]]]
[(1,10),(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] => [[[[]],[[]]]]
[(1,10),(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] => [[[[]],[],[]]]
[(1,9),(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] => [[[[]],[],[]]]
[(1,8),(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] => [[[[]],[],[]]]
[(1,7),(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] => [[[],[],[],[]]]
[(1,6),(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] => [[[]],[[],[]]]
[(1,5),(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),(2,3),(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] => [[[]],[],[[]]]
[(1,3),(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] => [[[]],[],[[]]]
[(1,2),(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] => [[[]],[],[],[]]
[(1,2),(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] => [[[]],[],[],[]]
[(1,3),(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] => [[[]],[],[[]]]
[(1,4),(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] => [[[]],[],[[]]]
[(1,5),(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] => [[[]],[[],[]]]
[(1,6),(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] => [[[]],[[],[]]]
[(1,7),(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] => [[[],[],[],[]]]
[(1,8),(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] => [[[[]],[],[]]]
[(1,9),(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] => [[[[]],[],[]]]
[(1,10),(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] => [[[[]],[],[]]]
[(1,10),(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] => [[[[]],[[]]]]
[(1,9),(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] => [[[[]],[[]]]]
[(1,8),(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] => [[[[]],[[]]]]
[(1,7),(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),(3,5),(7,10),(8,9)] => [(1,4),(2,3),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [[[]],[[[]]]]
[(1,5),(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] => [[[]],[[[]]]]
[(1,4),(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] => [[[]],[[[]]]]
[(1,3),(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] => [[[]],[[],[]]]
[(1,2),(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),(3,6),(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),(2,6),(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),(2,6),(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] => [[[]],[[[]]]]
[(1,5),(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] => [[[]],[[[]]]]
[(1,6),(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] => [[[]],[[[]]]]
[(1,7),(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] => [[[],[],[[]]]]
[(1,8),(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] => [[[[]],[[]]]]
[(1,9),(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] => [[[[]],[[]]]]
[(1,10),(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] => [[[[]],[[]]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,8),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[],[[],[]]]]
[(1,6),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[],[[]]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,2),(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] => [[[],[],[]],[]]
[(1,2),(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),(2,8),(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),(2,8),(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] => [[[[]],[[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,6),(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),(2,9),(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] => [[[[]],[[]]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,3),(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] => [[[[]],[],[]]]
[(1,2),(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),(3,10),(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),(2,10),(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),(2,10),(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] => [[[[]],[[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,9),(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),(2,10),(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] => [[[[[],[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,10),(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),(2,7),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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),(2,7),(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] => [[[],[[]],[]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,7),(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),(2,6),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,10),(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] => [[[[],[[]]]]]
[(1,9),(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] => [[[[],[[]]]]]
[(1,8),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[],[[[]]]]]
[(1,6),(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] => [[[],[[[]]]]]
[(1,5),(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] => [[[],[[[]]]]]
[(1,4),(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] => [[[],[[],[]]]]
[(1,3),(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] => [[[],[[]],[]]]
[(1,2),(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),(3,5),(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] => [[[],[],[]],[]]
[(1,3),(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] => [[[],[],[],[]]]
[(1,4),(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] => [[[],[],[[]]]]
[(1,5),(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] => [[[],[],[[]]]]
[(1,6),(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] => [[[],[[],[]]]]
[(1,7),(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] => [[[],[[],[]]]]
[(1,8),(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] => [[[[],[],[]]]]
[(1,9),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[],[],[]]]]
[(1,10),(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] => [[[[],[]],[]]]
[(1,9),(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] => [[[[],[]],[]]]
[(1,8),(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] => [[[[],[]],[]]]
[(1,7),(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] => [[[],[[]],[]]]
[(1,6),(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] => [[[],[[]],[]]]
[(1,5),(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] => [[[],[],[],[]]]
[(1,4),(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] => [[[],[]],[[]]]
[(1,3),(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] => [[[],[]],[[]]]
[(1,2),(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),(5,8),(6,10),(7,9)] => [(1,5),(2,4),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [[[[]]],[],[]]
[(1,3),(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] => [[[[]]],[[]]]
[(1,4),(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] => [[[[]]],[[]]]
[(1,5),(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] => [[[[]],[],[]]]
[(1,6),(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] => [[[[],[]],[]]]
[(1,7),(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] => [[[[[]]],[]]]
[(1,8),(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] => [[[[[]]],[]]]
[(1,9),(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] => [[[[[]]],[]]]
[(1,10),(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] => [[[[[]]],[]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,3),(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] => [[[[]],[],[]]]
[(1,2),(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),(3,6),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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),(2,5),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,8),(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),(2,8),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,10),(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),(2,10),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,9),(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),(2,9),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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),(2,9),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,7),(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),(2,7),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,9),(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),(2,5),(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] => [[[[[],[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,2),(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] => [[[[],[]]],[]]
[(1,2),(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),(2,5),(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] => [[[[]],[],[]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,6),(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),(3,9),(5,10),(6,8)] => [(1,6),(2,8),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,10),(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] => [[[[[]]],[]]]
[(1,9),(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] => [[[[[]]],[]]]
[(1,8),(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] => [[[[[]]],[]]]
[(1,7),(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] => [[[[[]]],[]]]
[(1,6),(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] => [[[[],[]],[]]]
[(1,5),(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),(2,3),(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] => [[[[]]],[[]]]
[(1,3),(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] => [[[[]]],[[]]]
[(1,2),(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] => [[[[]]],[],[]]
[(1,2),(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] => [[[[]]],[],[]]
[(1,3),(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] => [[[[]]],[[]]]
[(1,4),(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] => [[[[]]],[[]]]
[(1,5),(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] => [[[[]],[],[]]]
[(1,6),(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] => [[[[],[]],[]]]
[(1,7),(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] => [[[[[]]],[]]]
[(1,8),(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] => [[[[[]]],[]]]
[(1,9),(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] => [[[[[]]],[]]]
[(1,10),(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] => [[[[[]]],[]]]
[(1,10),(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] => [[[[[]],[]]]]
[(1,9),(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] => [[[[[]],[]]]]
[(1,8),(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] => [[[[[]],[]]]]
[(1,7),(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] => [[[[[]],[]]]]
[(1,6),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[]],[[]]]]
[(1,4),(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] => [[[[]],[[]]]]
[(1,3),(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] => [[[[]],[],[]]]
[(1,2),(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),(3,6),(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] => [[[[],[]]],[]]
[(1,3),(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] => [[[[],[]],[]]]
[(1,4),(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] => [[[[],[],[]]]]
[(1,5),(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] => [[[[],[[]]]]]
[(1,6),(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] => [[[[],[[]]]]]
[(1,7),(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] => [[[[[],[]]]]]
[(1,8),(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] => [[[[[],[]]]]]
[(1,9),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[],[]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,8),(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),(2,8),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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),(2,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,6),(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] => [[[[[[]]]]]]
[(1,5),(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] => [[[[[],[]]]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,3),(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] => [[[[[]]],[]]]
[(1,2),(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),(3,10),(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),(2,10),(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] => [[[[[]]],[]]]
[(1,4),(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] => [[[[[]],[]]]]
[(1,5),(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),(2,10),(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] => [[[[[[]]]]]]
[(1,7),(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] => [[[[[[]]]]]]
[(1,8),(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] => [[[[[[]]]]]]
[(1,9),(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] => [[[[[[]]]]]]
[(1,10),(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] => [[[[[[]]]]]]
[(1,12),(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] => [[[[[[[]]]]]]]
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [1,0,1,1,1,1,0,0,0,0,1,0] => [[],[[[[]]]],[]]
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]]
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[[],[[[]]]],[]]
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[],[[[[]]],[]]]
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]]
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[],[]]
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]]
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[[[],[[]]]],[]]
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]]]
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]]
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[],[]]
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [1,0,1,1,1,1,0,0,1,0,0,0] => [[],[[[[]],[]]]]
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[[]],[[]],[[]]]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]]
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [1,0,1,1,0,1,0,1,0,0,1,0] => [[],[[],[],[]],[]]
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]]
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[]]
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[]]]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]]
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [1,0,1,1,0,1,0,0,1,0,1,0] => [[],[[],[]],[],[]]
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]]
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[[[[],[]]]],[]]
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[],[[],[]],[[]]]
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]]
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[]],[],[]]
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[],[[],[],[[]]]]
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[]],[[]]]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[[],[]],[]]
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]]
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[],[]],[]]
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[[],[],[]]]
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]]
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[],[]],[]]
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[[[],[]]]]]
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[],[],[]]]
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]]
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[]],[],[]]
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[[],[[]]]]
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]]]
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[],[[]]]]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]]
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[],[[[],[]]],[]]
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]]
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[[],[[],[]]],[]]
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]],[]]]
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[]]
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]]
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[[[],[],[]]],[]]
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[[]]]
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]]
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[]]
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[],[[[],[],[]]]]
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[[]],[],[],[[]]]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]]
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [1,0,1,1,1,0,0,1,0,0,1,0] => [[],[[[]],[]],[]]
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]]
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[]],[]]
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[],[[[]],[],[]]]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]]
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [1,0,1,1,1,0,0,0,1,0,1,0] => [[],[[[]]],[],[]]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]]
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]]]],[]]
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[],[[[]]],[[]]]
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]]
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[[],[[]]],[],[]]
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]]]]
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[[],[[]]],[[]]]
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[[]],[]]
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]]
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[[[],[]],[]],[]]
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[[],[]]]
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]]
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[],[[]],[]]
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[],[[[],[[]]]]]
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[],[[],[]]]
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]]
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[[],[]]],[],[]]
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[[[]]]]
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[[[],[]]],[[]]]
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[],[[[]]]]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]]
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [1,0,1,1,0,1,1,0,0,0,1,0] => [[],[[],[[]]],[]]
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]]
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[[]]],[]]
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[],[[],[[]],[]]]
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]]
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [1,0,1,1,0,0,1,0,1,0,1,0] => [[],[[]],[],[],[]]
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]]
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[]]],[]]
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[],[[]]]
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]]
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[],[]],[],[],[]]
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[],[[],[[],[]]]]
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[],[]],[],[[]]]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[[[]]],[]]
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]]
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]]],[]]
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[[[]],[]]]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]]
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[[]]],[]]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[[]]]]]]
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]]]
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]]
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[]]],[],[],[]]
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[[[],[]]]]
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[[]]],[],[[]]]
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[[],[]]]]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]]
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[]]
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]]
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [1,1,1,1,0,0,0,1,0,0,1,0] => [[[[[]]],[]],[]]
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[],[]]]
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]]
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[]]
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [1,0,1,1,0,1,1,1,0,0,0,0] => [[],[[],[[[]]]]]
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[[],[]],[[],[]]]
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]]
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [1,1,1,1,0,0,0,0,1,0,1,0] => [[[[[]]]],[],[]]
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[[]]]]
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[[[[]]]],[[]]]
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[[],[]],[[[]]]]
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]]
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[]]
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[],[],[[[[]]]]]
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[[[]]],[[],[]]]
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [1,1,0,0,1,1,1,1,0,0,0,0] => [[[]],[[[[]]]]]
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[[[]]],[[[]]]]
[(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] => [[[[[[[]]]]]]]
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.
Map
to ordered tree
Description
Sends a Dyck path to the ordered tree encoding the heights of the path.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
searching the database
Sorry, this map was not found in the database.