- FindStat

Identifier

Mp00150: Perfect matchings —to Dyck path⟶ Dyck paths
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees

Images

[(1,2)] => [1,0] => [[]] => [[]]

[(1,2),(3,4)] => [1,0,1,0] => [[],[]] => [[],[]]

[(1,3),(2,4)] => [1,1,0,0] => [[[]]] => [[[]]]

[(1,4),(2,3)] => [1,1,0,0] => [[[]]] => [[[]]]

[(1,2),(3,4),(5,6)] => [1,0,1,0,1,0] => [[],[],[]] => [[],[],[]]

[(1,3),(2,4),(5,6)] => [1,1,0,0,1,0] => [[[]],[]] => [[],[[]]]

[(1,4),(2,3),(5,6)] => [1,1,0,0,1,0] => [[[]],[]] => [[],[[]]]

[(1,5),(2,3),(4,6)] => [1,1,0,1,0,0] => [[[],[]]] => [[[],[]]]

[(1,6),(2,3),(4,5)] => [1,1,0,1,0,0] => [[[],[]]] => [[[],[]]]

[(1,6),(2,4),(3,5)] => [1,1,1,0,0,0] => [[[[]]]] => [[[[]]]]

[(1,5),(2,4),(3,6)] => [1,1,1,0,0,0] => [[[[]]]] => [[[[]]]]

[(1,4),(2,5),(3,6)] => [1,1,1,0,0,0] => [[[[]]]] => [[[[]]]]

[(1,3),(2,5),(4,6)] => [1,1,0,1,0,0] => [[[],[]]] => [[[],[]]]

[(1,2),(3,5),(4,6)] => [1,0,1,1,0,0] => [[],[[]]] => [[[]],[]]

[(1,2),(3,6),(4,5)] => [1,0,1,1,0,0] => [[],[[]]] => [[[]],[]]

[(1,3),(2,6),(4,5)] => [1,1,0,1,0,0] => [[[],[]]] => [[[],[]]]

[(1,4),(2,6),(3,5)] => [1,1,1,0,0,0] => [[[[]]]] => [[[[]]]]

[(1,5),(2,6),(3,4)] => [1,1,1,0,0,0] => [[[[]]]] => [[[[]]]]

[(1,6),(2,5),(3,4)] => [1,1,1,0,0,0] => [[[[]]]] => [[[[]]]]

[(1,2),(3,4),(5,6),(7,8)] => [1,0,1,0,1,0,1,0] => [[],[],[],[]] => [[],[],[],[]]

[(1,3),(2,4),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [[[]],[],[]] => [[],[],[[]]]

[(1,4),(2,3),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [[[]],[],[]] => [[],[],[[]]]

[(1,5),(2,3),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [[[],[]],[]] => [[],[[],[]]]

[(1,6),(2,3),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [[[],[]],[]] => [[],[[],[]]]

[(1,7),(2,3),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,8),(2,3),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,8),(2,4),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,7),(2,4),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,6),(2,4),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]] => [[],[[[]]]]

[(1,5),(2,4),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]] => [[],[[[]]]]

[(1,4),(2,5),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]] => [[],[[[]]]]

[(1,3),(2,5),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [[[],[]],[]] => [[],[[],[]]]

[(1,2),(3,5),(4,6),(7,8)] => [1,0,1,1,0,0,1,0] => [[],[[]],[]] => [[],[[]],[]]

[(1,2),(3,6),(4,5),(7,8)] => [1,0,1,1,0,0,1,0] => [[],[[]],[]] => [[],[[]],[]]

[(1,3),(2,6),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [[[],[]],[]] => [[],[[],[]]]

[(1,4),(2,6),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]] => [[],[[[]]]]

[(1,5),(2,6),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]] => [[],[[[]]]]

[(1,6),(2,5),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [[[[]]],[]] => [[],[[[]]]]

[(1,7),(2,5),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,8),(2,5),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,8),(2,6),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,7),(2,6),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,6),(2,7),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,5),(2,7),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,4),(2,7),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,3),(2,7),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,2),(3,7),(4,5),(6,8)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]] => [[[],[]],[]]

[(1,2),(3,8),(4,5),(6,7)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]] => [[[],[]],[]]

[(1,3),(2,8),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,4),(2,8),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,5),(2,8),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,6),(2,8),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,7),(2,8),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,8),(2,7),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,8),(2,7),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,7),(2,8),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,6),(2,8),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,5),(2,8),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,4),(2,8),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,3),(2,8),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,2),(3,8),(4,6),(5,7)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]] => [[[[]]],[]]

[(1,2),(3,7),(4,6),(5,8)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]] => [[[[]]],[]]

[(1,3),(2,7),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,4),(2,7),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,5),(2,7),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,6),(2,7),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,7),(2,6),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,8),(2,6),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,8),(2,5),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,7),(2,5),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,6),(2,5),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,5),(2,6),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,4),(2,6),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,3),(2,6),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,2),(3,6),(4,7),(5,8)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]] => [[[[]]],[]]

[(1,2),(3,5),(4,7),(6,8)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]] => [[[],[]],[]]

[(1,3),(2,5),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,4),(2,5),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,5),(2,4),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,6),(2,4),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,7),(2,4),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,8),(2,4),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,8),(2,3),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,7),(2,3),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,6),(2,3),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,5),(2,3),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,4),(2,3),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]] => [[[]],[[]]]

[(1,3),(2,4),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]] => [[[]],[[]]]

[(1,2),(3,4),(5,7),(6,8)] => [1,0,1,0,1,1,0,0] => [[],[],[[]]] => [[[]],[],[]]

[(1,2),(3,4),(5,8),(6,7)] => [1,0,1,0,1,1,0,0] => [[],[],[[]]] => [[[]],[],[]]

[(1,3),(2,4),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]] => [[[]],[[]]]

[(1,4),(2,3),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [[[]],[[]]] => [[[]],[[]]]

[(1,5),(2,3),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,6),(2,3),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,7),(2,3),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,8),(2,3),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,8),(2,4),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,7),(2,4),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,6),(2,4),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,5),(2,4),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

[(1,4),(2,5),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [[[[]],[]]] => [[[],[[]]]]

>>> Load all 1421 entries. <<<

[(1,3),(2,5),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [[[],[],[]]] => [[[],[],[]]]

[(1,2),(3,5),(4,8),(6,7)] => [1,0,1,1,0,1,0,0] => [[],[[],[]]] => [[[],[]],[]]

[(1,2),(3,6),(4,8),(5,7)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]] => [[[[]]],[]]

[(1,3),(2,6),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,4),(2,6),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,5),(2,6),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,6),(2,5),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,7),(2,5),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,8),(2,5),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,8),(2,6),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,7),(2,6),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,6),(2,7),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,5),(2,7),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,4),(2,7),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,3),(2,7),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,2),(3,7),(4,8),(5,6)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]] => [[[[]]],[]]

[(1,2),(3,8),(4,7),(5,6)] => [1,0,1,1,1,0,0,0] => [[],[[[]]]] => [[[[]]],[]]

[(1,3),(2,8),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [[[],[[]]]] => [[[[]],[]]]

[(1,4),(2,8),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [[[[],[]]]] => [[[[],[]]]]

[(1,5),(2,8),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,6),(2,8),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,7),(2,8),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(1,8),(2,7),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [[[[[]]]]] => [[[[[]]]]]

[(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)] => [1,1,0,0,1,0,1,0,1,0] => [[[]],[],[],[]] => [[],[],[],[[]]]

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

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

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

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

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

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

[(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)] => [1,1,1,0,0,1,0,1,0,0] => [[[[]],[],[]]] => [[[],[],[[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,0,1,1,0,1,0,1,0,0] => [[],[[],[],[]]] => [[[],[],[]],[]]

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,1,0,1,0,0,0] => [[[[],[],[]]]] => [[[[],[],[]]]]

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]] => [[[],[[],[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[]] => [[],[[[]]],[]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,0,1,1,0,1,0,0,1,0] => [[],[[],[]],[]] => [[],[[],[]],[]]

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

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

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

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

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

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

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

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

[(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)] => [1,1,0,1,1,0,0,1,0,0] => [[[],[[]],[]]] => [[[],[[]],[]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]] => [[[],[[],[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,0,1,1,1,0,0,0,1,0] => [[],[[[]]],[]] => [[],[[[]]],[]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,0,1,1,1,0,0,1,0,0] => [[],[[[]],[]]] => [[[],[[]]],[]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,0,0,1,0,0,0] => [[[[[]],[]]]] => [[[[],[[]]]]]

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]] => [[[[],[]],[]]]

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

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

[(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)] => [1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]] => [[[],[[],[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]] => [[[[],[]],[]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]] => [[[[],[]],[]]]

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

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

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

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

[(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)] => [1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]] => [[[],[[],[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

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

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

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

[(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)] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]] => [[[[],[]],[]]]

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

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

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

[(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)] => [1,1,1,0,0,1,1,0,0,0] => [[[[]],[[]]]] => [[[[]],[[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,1,0,1,0,0,0] => [[[[],[],[]]]] => [[[[],[],[]]]]

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

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

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

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

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

[(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)] => [1,0,1,1,0,1,0,1,0,0] => [[],[[],[],[]]] => [[[],[],[]],[]]

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

[(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)] => [1,1,1,0,1,0,0,1,0,0] => [[[[],[]],[]]] => [[[],[[],[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,0,1,1,0,1,0,0,0] => [[[],[[],[]]]] => [[[[],[]],[]]]

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,0,1,1,0,0,0] => [[[[]],[[]]]] => [[[[]],[[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,0,1,0,1,1,0,0,0] => [[[],[],[[]]]] => [[[[]],[],[]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,1,0,1,0,0,0] => [[[[],[],[]]]] => [[[[],[],[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,0,1,1,0,0,0] => [[[[]],[[]]]] => [[[[]],[[]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,0,1,0,1,0,1,0,0] => [[[],[],[],[]]] => [[[],[],[],[]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,0,0,1,1,0,0,0] => [[[[]],[[]]]] => [[[[]],[[]]]]

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[(1,9),(2,6),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,8),(2,6),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,7),(2,6),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,6),(2,7),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,5),(2,7),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

[(1,4),(2,7),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[[[],[[]]]]] => [[[[[]],[]]]]

[(1,3),(2,7),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[],[[[]]]]] => [[[[[]]],[]]]

[(1,2),(3,7),(4,10),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]]] => [[[[[]]]],[]]

[(1,2),(3,8),(4,10),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]]] => [[[[[]]]],[]]

[(1,3),(2,8),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[],[[[]]]]] => [[[[[]]],[]]]

[(1,4),(2,8),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[[[],[[]]]]] => [[[[[]],[]]]]

[(1,5),(2,8),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

[(1,6),(2,8),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,7),(2,8),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,10),(2,7),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(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)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,6),(2,9),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,5),(2,9),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

[(1,4),(2,9),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[[[],[[]]]]] => [[[[[]],[]]]]

[(1,3),(2,9),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[],[[[]]]]] => [[[[[]]],[]]]

[(1,2),(3,9),(4,10),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]]] => [[[[[]]]],[]]

[(1,2),(3,10),(4,9),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [[],[[[[]]]]] => [[[[[]]]],[]]

[(1,3),(2,10),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[],[[[]]]]] => [[[[[]]],[]]]

[(1,4),(2,10),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[[[],[[]]]]] => [[[[[]],[]]]]

[(1,5),(2,10),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[[],[]]]]] => [[[[[],[]]]]]

[(1,6),(2,10),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,7),(2,10),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,8),(2,10),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(1,9),(2,10),(3,8),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[[[[]]]]]] => [[[[[[]]]]]]

[(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)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(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)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]]

[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[],[[[[]]],[]]] => [[[],[[[]]]],[]]

[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[[],[[[]]]],[]] => [[],[[[[]]],[]]]

[(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)] => [1,0,1,0,1,1,0,0,1,0,1,0] => [[],[],[[]],[],[]] => [[],[],[[]],[],[]]

[(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),(3,12),(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),(9,10),(11,12)] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[[]],[[]],[],[]] => [[],[],[[]],[[]]]

[(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),(3,4),(5,8),(6,7),(9,12),(10,11)] => [1,0,1,0,1,1,0,0,1,1,0,0] => [[],[],[[]],[[]]] => [[[]],[[]],[],[]]

[(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),(9,12),(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)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(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)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]]

[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[],[[],[],[],[]]] => [[[],[],[],[]],[]]

[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [1,1,0,1,0,1,0,1,0,0,1,0] => [[[],[],[],[]],[]] => [[],[[],[],[],[]]]

[(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),(3,4),(5,10),(6,7),(8,9),(11,12)] => [1,0,1,0,1,1,0,1,0,0,1,0] => [[],[],[[],[]],[]] => [[],[[],[]],[],[]]

[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]

[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[],[[[[],[]]]]] => [[[[[],[]]]],[]]

[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [1,1,0,0,1,1,0,1,0,0,1,0] => [[[]],[[],[]],[]] => [[],[[],[]],[[]]]

[(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),(3,4),(5,12),(6,7),(8,9),(10,11)] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[],[],[[],[],[]]] => [[[],[],[]],[],[]]

[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[[[]],[],[]],[]] => [[],[[],[],[[]]]]

[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [1,1,0,0,1,1,0,1,0,1,0,0] => [[[]],[[],[],[]]] => [[[],[],[]],[[]]]

[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]

[(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),(4,5),(6,7),(8,11),(9,10)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]

[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [1,0,1,1,0,1,0,1,1,0,0,0] => [[],[[],[],[[]]]] => [[[[]],[],[]],[]]

[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [1,1,0,1,0,1,0,0,1,0,1,0] => [[[],[],[]],[],[]] => [[],[],[[],[],[]]]

[(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),(3,8),(4,5),(6,7),(9,12),(10,11)] => [1,0,1,1,0,1,0,0,1,1,0,0] => [[],[[],[]],[[]]] => [[[]],[[],[]],[]]

[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[[[[],[]]]],[]] => [[],[[[[],[]]]]]

[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[[],[],[]],[[]]] => [[[]],[[],[],[]]]

[(1,12),(2,5),(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)] => [1,0,1,0,1,1,0,1,1,0,0,0] => [[],[],[[],[[]]]] => [[[[]],[]],[],[]]

[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[[[]],[]],[],[]] => [[],[],[[],[[]]]]

[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[[]],[[],[[]]]] => [[[[]],[]],[[]]]

[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [1,1,1,0,0,1,0,0,1,1,0,0] => [[[[]],[]],[[]]] => [[[]],[[],[[]]]]

[(1,12),(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)] => [1,0,1,1,1,0,1,0,0,0,1,0] => [[],[[[],[]]],[]] => [[],[[[],[]]],[]]

[(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)] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[],[[[],[]],[]]] => [[[],[[],[]]],[]]

[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[[],[[],[]]],[]] => [[],[[[],[]],[]]]

[(1,12),(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)] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[],[],[],[],[],[]] => [[],[],[],[],[],[]]

[(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),(3,12),(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),(9,10),(11,12)] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[[]],[],[],[],[]] => [[],[],[],[],[[]]]

[(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),(3,4),(5,6),(7,8),(9,12),(10,11)] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[],[],[],[],[[]]] => [[[]],[],[],[],[]]

[(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),(9,12),(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)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(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),(4,5),(6,9),(7,8),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]]

[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [1,0,1,1,0,1,1,0,0,1,0,0] => [[],[[],[[]],[]]] => [[[],[[]],[]],[]]

[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[[],[],[[]]],[]] => [[],[[[]],[],[]]]

[(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),(3,4),(5,10),(6,9),(7,8),(11,12)] => [1,0,1,0,1,1,1,0,0,0,1,0] => [[],[],[[[]]],[]] => [[],[[[]]],[],[]]

[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]

[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[],[[[[[]]]]]] => [[[[[[]]]]],[]]

[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[[]],[[[]]],[]] => [[],[[[]]],[[]]]

[(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),(3,4),(5,12),(6,9),(7,8),(10,11)] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[],[],[[[]],[]]] => [[[],[[]]],[],[]]

[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[[[]],[[]]],[]] => [[],[[[]],[[]]]]

[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[[]],[[[]],[]]] => [[[],[[]]],[[]]]

[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]

[(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),(4,5),(6,11),(7,8),(9,10)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]]

[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [1,0,1,1,0,1,1,0,1,0,0,0] => [[],[[],[[],[]]]] => [[[[],[]],[]],[]]

[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[],[]],[],[],[]] => [[],[],[],[[],[]]]

[(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),(3,6),(4,5),(7,8),(9,12),(10,11)] => [1,0,1,1,0,0,1,0,1,1,0,0] => [[],[[]],[],[[]]] => [[[]],[],[[]],[]]

[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[[[[]],[]]],[]] => [[],[[[],[[]]]]]

[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[],[]],[],[[]]] => [[[]],[],[[],[]]]

[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]

[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[],[],[[[],[]]]] => [[[[],[]]],[],[]]

[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[[[]]],[],[],[]] => [[],[],[],[[[]]]]

[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[[]],[[[],[]]]] => [[[[],[]]],[[]]]

[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[[[]]],[],[[]]] => [[[]],[],[[[]]]]

[(1,12),(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),(4,7),(5,6),(8,9),(11,12)] => [1,0,1,1,1,0,0,1,0,0,1,0] => [[],[[[]],[]],[]] => [[],[[],[[]]],[]]

[(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),(4,7),(5,6),(8,9),(10,11)] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[],[[[]],[],[]]] => [[[],[],[[]]],[]]

[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [1,1,0,1,1,0,0,1,0,0,1,0] => [[[],[[]],[]],[]] => [[],[[],[[]],[]]]

[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]

[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [1,0,1,0,1,0,1,1,0,0,1,0] => [[],[],[],[[]],[]] => [[],[[]],[],[],[]]

[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]

[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[],[[[],[[]]]]] => [[[[[]],[]]],[]]

[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [1,1,0,0,1,0,1,1,0,0,1,0] => [[[]],[],[[]],[]] => [[],[[]],[],[[]]]

[(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),(3,4),(5,6),(7,12),(8,9),(10,11)] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[],[],[],[[],[]]] => [[[],[]],[],[],[]]

[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[[[],[]],[]],[]] => [[],[[],[[],[]]]]

[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [1,1,0,0,1,0,1,1,0,1,0,0] => [[[]],[],[[],[]]] => [[[],[]],[],[[]]]

[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(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),(4,7),(5,6),(8,11),(9,10)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]]

[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [1,0,1,1,1,0,0,1,1,0,0,0] => [[],[[[]],[[]]]] => [[[[]],[[]]],[]]

[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [1,1,0,1,1,0,0,0,1,0,1,0] => [[[],[[]]],[],[]] => [[],[],[[[]],[]]]

[(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),(3,8),(4,7),(5,6),(9,12),(10,11)] => [1,0,1,1,1,0,0,0,1,1,0,0] => [[],[[[]]],[[]]] => [[[]],[[[]]],[]]

[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[[[[[]]]]],[]] => [[],[[[[[]]]]]]

[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[[],[[]]],[[]]] => [[[]],[[[]],[]]]

[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]

[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[],[],[],[[[]]]] => [[[[]]],[],[],[]]

[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[[[],[]]],[],[]] => [[],[],[[[],[]]]]

[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[[]],[],[[[]]]] => [[[[]]],[],[[]]]

[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [1,1,1,0,1,0,0,0,1,1,0,0] => [[[[],[]]],[[]]] => [[[]],[[[],[]]]]

[(1,12),(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)] => [1,0,1,1,0,0,1,1,0,0,1,0] => [[],[[]],[[]],[]] => [[],[[]],[[]],[]]

[(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),(3,12),(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),(7,10),(8,9),(11,12)] => [1,1,0,1,0,0,1,1,0,0,1,0] => [[[],[]],[[]],[]] => [[],[[]],[[],[]]]

[(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),(3,6),(4,5),(7,12),(8,9),(10,11)] => [1,0,1,1,0,0,1,1,0,1,0,0] => [[],[[]],[[],[]]] => [[[],[]],[[]],[]]

[(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),(7,12),(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)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]

[(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),(2,5),(3,4),(7,10),(8,9),(11,12)] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[[[]]],[[]],[]] => [[],[[]],[[[]]]]

[(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),(8,9),(10,11)] => [1,1,1,0,0,0,1,1,0,1,0,0] => [[[[]]],[[],[]]] => [[[],[]],[[[]]]]

[(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),(3,6),(4,5),(7,12),(8,11),(9,10)] => [1,0,1,1,0,0,1,1,1,0,0,0] => [[],[[]],[[[]]]] => [[[[]]],[[]],[]]

[(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),(2,3),(4,5),(7,12),(8,11),(9,10)] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[[],[]],[[[]]]] => [[[[]]],[[],[]]]

[(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),(8,11),(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)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,11),(2,3),(4,5),(6,7),(8,9),(10,12)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]]

[(1,12),(2,3),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]

[(1,11),(2,3),(4,5),(6,7),(8,10),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]

[(1,10),(2,3),(4,5),(6,7),(8,11),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]

[(1,12),(2,3),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]]

[(1,11),(2,3),(4,5),(6,8),(7,9),(10,12)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]]

[(1,12),(2,3),(4,5),(6,8),(7,10),(9,11)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]]

[(1,11),(2,3),(4,5),(6,8),(7,10),(9,12)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]]

[(1,10),(2,3),(4,5),(6,8),(7,11),(9,12)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]]

[(1,12),(2,3),(4,5),(6,9),(7,10),(8,11)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]]

[(1,11),(2,3),(4,5),(6,9),(7,10),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]]

[(1,10),(2,3),(4,5),(6,9),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]]

[(1,9),(2,3),(4,5),(6,10),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]]

[(1,12),(2,3),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]] => [[[],[],[[]],[]]]

[(1,11),(2,3),(4,6),(5,7),(8,9),(10,12)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]] => [[[],[],[[]],[]]]

[(1,12),(2,3),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]]

[(1,11),(2,3),(4,6),(5,7),(8,10),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]]

[(1,10),(2,3),(4,6),(5,7),(8,11),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]]

[(1,12),(2,3),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]] => [[[],[[],[]],[]]]

[(1,11),(2,3),(4,6),(5,8),(7,9),(10,12)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]] => [[[],[[],[]],[]]]

[(1,12),(2,3),(4,6),(5,8),(7,10),(9,11)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]]

[(1,11),(2,3),(4,6),(5,8),(7,10),(9,12)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]]

[(1,10),(2,3),(4,6),(5,8),(7,11),(9,12)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]]

[(1,12),(2,3),(4,6),(5,9),(7,10),(8,11)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]

[(1,11),(2,3),(4,6),(5,9),(7,10),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]

[(1,10),(2,3),(4,6),(5,9),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]

[(1,9),(2,3),(4,6),(5,10),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]

[(1,12),(2,3),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]]

[(1,11),(2,3),(4,7),(5,8),(6,9),(10,12)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]]

[(1,12),(2,3),(4,7),(5,8),(6,10),(9,11)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]]

[(1,11),(2,3),(4,7),(5,8),(6,10),(9,12)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]]

[(1,10),(2,3),(4,7),(5,8),(6,11),(9,12)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]]

[(1,12),(2,3),(4,7),(5,9),(6,10),(8,11)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]

[(1,11),(2,3),(4,7),(5,9),(6,10),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]

[(1,10),(2,3),(4,7),(5,9),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]

[(1,9),(2,3),(4,7),(5,10),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]

[(1,12),(2,3),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]

[(1,11),(2,3),(4,8),(5,9),(6,10),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]

[(1,10),(2,3),(4,8),(5,9),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]

[(1,9),(2,3),(4,8),(5,10),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]

[(1,8),(2,3),(4,9),(5,10),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]

[(1,12),(2,4),(3,5),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]]

[(1,11),(2,4),(3,5),(6,7),(8,9),(10,12)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]]

[(1,12),(2,4),(3,5),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]]

[(1,11),(2,4),(3,5),(6,7),(8,10),(9,12)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]]

[(1,10),(2,4),(3,5),(6,7),(8,11),(9,12)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]]

[(1,12),(2,4),(3,5),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]]

[(1,11),(2,4),(3,5),(6,8),(7,9),(10,12)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]]

[(1,12),(2,4),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]

[(1,11),(2,4),(3,5),(6,8),(7,10),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]

[(1,10),(2,4),(3,5),(6,8),(7,11),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]

[(1,12),(2,4),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]

[(1,11),(2,4),(3,5),(6,9),(7,10),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]

[(1,10),(2,4),(3,5),(6,9),(7,11),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]

[(1,9),(2,4),(3,5),(6,10),(7,11),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]

[(1,12),(2,4),(3,6),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]]

[(1,11),(2,4),(3,6),(5,7),(8,9),(10,12)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]]

[(1,12),(2,4),(3,6),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]

[(1,11),(2,4),(3,6),(5,7),(8,10),(9,12)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]

[(1,10),(2,4),(3,6),(5,7),(8,11),(9,12)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]

[(1,12),(2,4),(3,6),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]]

[(1,11),(2,4),(3,6),(5,8),(7,9),(10,12)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]]

[(1,12),(2,4),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]

[(1,11),(2,4),(3,6),(5,8),(7,10),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]

[(1,10),(2,4),(3,6),(5,8),(7,11),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]

[(1,12),(2,4),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]

[(1,11),(2,4),(3,6),(5,9),(7,10),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]

[(1,10),(2,4),(3,6),(5,9),(7,11),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]

[(1,9),(2,4),(3,6),(5,10),(7,11),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]

[(1,12),(2,4),(3,7),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]]

[(1,11),(2,4),(3,7),(5,8),(6,9),(10,12)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]]

[(1,12),(2,4),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]]

[(1,11),(2,4),(3,7),(5,8),(6,10),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]]

[(1,10),(2,4),(3,7),(5,8),(6,11),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]]

[(1,12),(2,4),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]

[(1,11),(2,4),(3,7),(5,9),(6,10),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]

[(1,10),(2,4),(3,7),(5,9),(6,11),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]

[(1,9),(2,4),(3,7),(5,10),(6,11),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]

[(1,12),(2,4),(3,8),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]

[(1,11),(2,4),(3,8),(5,9),(6,10),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]

[(1,10),(2,4),(3,8),(5,9),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]

[(1,9),(2,4),(3,8),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]

[(1,8),(2,4),(3,9),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]

[(1,12),(2,5),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]]

[(1,11),(2,5),(3,6),(4,7),(8,9),(10,12)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]]

[(1,12),(2,5),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]

[(1,11),(2,5),(3,6),(4,7),(8,10),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]

[(1,10),(2,5),(3,6),(4,7),(8,11),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]

[(1,12),(2,5),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]]

[(1,11),(2,5),(3,6),(4,8),(7,9),(10,12)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]]

[(1,12),(2,5),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]

[(1,11),(2,5),(3,6),(4,8),(7,10),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]

[(1,10),(2,5),(3,6),(4,8),(7,11),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]

[(1,12),(2,5),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]

[(1,11),(2,5),(3,6),(4,9),(7,10),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]

[(1,10),(2,5),(3,6),(4,9),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]

[(1,9),(2,5),(3,6),(4,10),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]

[(1,12),(2,5),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]]

[(1,11),(2,5),(3,7),(4,8),(6,9),(10,12)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]]

[(1,12),(2,5),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]

[(1,11),(2,5),(3,7),(4,8),(6,10),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]

[(1,10),(2,5),(3,7),(4,8),(6,11),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]

[(1,12),(2,5),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(1,11),(2,5),(3,7),(4,9),(6,10),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(1,10),(2,5),(3,7),(4,9),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(1,9),(2,5),(3,7),(4,10),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(1,12),(2,5),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,11),(2,5),(3,8),(4,9),(6,10),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,10),(2,5),(3,8),(4,9),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,9),(2,5),(3,8),(4,10),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,8),(2,5),(3,9),(4,10),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,12),(2,6),(3,7),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]

[(1,11),(2,6),(3,7),(4,8),(5,9),(10,12)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]

[(1,12),(2,6),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(1,11),(2,6),(3,7),(4,8),(5,10),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(1,10),(2,6),(3,7),(4,8),(5,11),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(1,12),(2,6),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,11),(2,6),(3,7),(4,9),(5,10),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,10),(2,6),(3,7),(4,9),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,9),(2,6),(3,7),(4,10),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,12),(2,6),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,11),(2,6),(3,8),(4,9),(5,10),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,10),(2,6),(3,8),(4,9),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,9),(2,6),(3,8),(4,10),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,8),(2,6),(3,9),(4,10),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,12),(2,7),(3,8),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,11),(2,7),(3,8),(4,9),(5,10),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,10),(2,7),(3,8),(4,9),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,9),(2,7),(3,8),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,8),(2,7),(3,9),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,3),(2,12),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[],[],[],[],[]]] => [[[],[],[],[],[]]]

[(1,3),(2,12),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[],[],[],[[]]]] => [[[[]],[],[],[]]]

[(1,3),(2,12),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[],[],[[]],[]]] => [[[],[[]],[],[]]]

[(1,3),(2,12),(4,5),(6,8),(7,10),(9,11)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[],[],[[],[]]]] => [[[[],[]],[],[]]]

[(1,3),(2,12),(4,5),(6,9),(7,10),(8,11)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[],[],[[[]]]]] => [[[[[]]],[],[]]]

[(1,3),(2,12),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[],[[]],[],[]]] => [[[],[],[[]],[]]]

[(1,3),(2,12),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[],[[]],[[]]]] => [[[[]],[[]],[]]]

[(1,3),(2,12),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[],[[],[]],[]]] => [[[],[[],[]],[]]]

[(1,3),(2,12),(4,6),(5,8),(7,10),(9,11)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[],[[],[],[]]]] => [[[[],[],[]],[]]]

[(1,3),(2,12),(4,6),(5,9),(7,10),(8,11)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[],[[],[[]]]]] => [[[[[]],[]],[]]]

[(1,3),(2,12),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[],[[[]]],[]]] => [[[],[[[]]],[]]]

[(1,3),(2,12),(4,7),(5,8),(6,10),(9,11)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[],[[[]],[]]]] => [[[[],[[]]],[]]]

[(1,3),(2,12),(4,7),(5,9),(6,10),(8,11)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[],[[[],[]]]]] => [[[[[],[]]],[]]]

[(1,3),(2,12),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[],[[[[]]]]]] => [[[[[[]]]],[]]]

[(1,4),(2,12),(3,5),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]]

[(1,4),(2,12),(3,5),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]]

[(1,4),(2,12),(3,5),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]]

[(1,4),(2,12),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]

[(1,4),(2,12),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]

[(1,4),(2,12),(3,6),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]]

[(1,4),(2,12),(3,6),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]

[(1,4),(2,12),(3,6),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]]

[(1,4),(2,12),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]

[(1,4),(2,12),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]

[(1,4),(2,12),(3,7),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]]

[(1,4),(2,12),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]]

[(1,4),(2,12),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]

[(1,4),(2,12),(3,8),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]

[(1,5),(2,12),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]]

[(1,5),(2,12),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]

[(1,5),(2,12),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]]

[(1,5),(2,12),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]

[(1,5),(2,12),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]

[(1,5),(2,12),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]]

[(1,5),(2,12),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]

[(1,5),(2,12),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(1,5),(2,12),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,6),(2,12),(3,7),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]

[(1,6),(2,12),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(1,6),(2,12),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,6),(2,12),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,7),(2,12),(3,8),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,4),(2,5),(3,12),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[[]],[],[],[]]] => [[[],[],[],[[]]]]

[(1,4),(2,5),(3,12),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [[[[]],[],[[]]]] => [[[[]],[],[[]]]]

[(1,4),(2,5),(3,12),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[[[]],[[]],[]]] => [[[],[[]],[[]]]]

[(1,4),(2,5),(3,12),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[[[]],[[],[]]]] => [[[[],[]],[[]]]]

[(1,4),(2,5),(3,12),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[[[]],[[[]]]]] => [[[[[]]],[[]]]]

[(1,4),(2,6),(3,12),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[[],[]],[],[]]] => [[[],[],[[],[]]]]

[(1,4),(2,6),(3,12),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [[[[],[]],[[]]]] => [[[[]],[[],[]]]]

[(1,4),(2,6),(3,12),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[[],[],[]],[]]] => [[[],[[],[],[]]]]

[(1,4),(2,6),(3,12),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[[],[],[],[]]]] => [[[[],[],[],[]]]]

[(1,4),(2,6),(3,12),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[[],[],[[]]]]] => [[[[[]],[],[]]]]

[(1,4),(2,7),(3,12),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[[],[[]]],[]]] => [[[],[[[]],[]]]]

[(1,4),(2,7),(3,12),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[[[],[[]],[]]]] => [[[[],[[]],[]]]]

[(1,4),(2,7),(3,12),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[[],[[],[]]]]] => [[[[[],[]],[]]]]

[(1,4),(2,8),(3,12),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[[],[[[]]]]]] => [[[[[[]]],[]]]]

[(1,5),(2,6),(3,12),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]]

[(1,5),(2,6),(3,12),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]

[(1,5),(2,6),(3,12),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]]

[(1,5),(2,6),(3,12),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]

[(1,5),(2,6),(3,12),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]

[(1,5),(2,7),(3,12),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]]

[(1,5),(2,7),(3,12),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]

[(1,5),(2,7),(3,12),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(1,5),(2,8),(3,12),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,6),(2,7),(3,12),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]

[(1,6),(2,7),(3,12),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(1,6),(2,7),(3,12),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,6),(2,8),(3,12),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,7),(2,8),(3,12),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,5),(2,6),(3,7),(4,12),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[[]]],[],[]]] => [[[],[],[[[]]]]]

[(1,5),(2,6),(3,7),(4,12),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[[[]]],[[]]]] => [[[[]],[[[]]]]]

[(1,5),(2,6),(3,8),(4,12),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[[[]],[]],[]]] => [[[],[[],[[]]]]]

[(1,5),(2,6),(3,8),(4,12),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[[[]],[],[]]]] => [[[[],[],[[]]]]]

[(1,5),(2,6),(3,9),(4,12),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[[[]],[[]]]]] => [[[[[]],[[]]]]]

[(1,5),(2,7),(3,8),(4,12),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[[],[]]],[]]] => [[[],[[[],[]]]]]

[(1,5),(2,7),(3,8),(4,12),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[[],[]],[]]]] => [[[[],[[],[]]]]]

[(1,5),(2,7),(3,9),(4,12),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[],[],[]]]]] => [[[[[],[],[]]]]]

[(1,5),(2,8),(3,9),(4,12),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[[],[[]]]]]] => [[[[[[]],[]]]]]

[(1,6),(2,7),(3,8),(4,12),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]

[(1,6),(2,7),(3,8),(4,12),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(1,6),(2,7),(3,9),(4,12),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,6),(2,8),(3,9),(4,12),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,7),(2,8),(3,9),(4,12),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

[(1,6),(2,7),(3,8),(4,9),(5,12),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[[]]]],[]]] => [[[],[[[[]]]]]]

[(1,6),(2,7),(3,8),(4,10),(5,12),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[[[[]]],[]]]] => [[[[],[[[]]]]]]

[(1,6),(2,7),(3,9),(4,10),(5,12),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[[[]],[]]]]] => [[[[[],[[]]]]]]

[(1,6),(2,8),(3,9),(4,10),(5,12),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[[],[]]]]]] => [[[[[[],[]]]]]]

[(1,7),(2,8),(3,9),(4,10),(5,12),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[[]]]]]]] => [[[[[[[]]]]]]]

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.

Map

left-right symmetry

Description

Return the left-right symmetrized tree of an ordered tree.