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
Mp00026: Dyck paths —to ordered tree⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Images
=>
Cc0012;cc-rep-0Cc0005;cc-rep-1Cc0021;cc-rep-2Cc0021;cc-rep-3
[(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]=>[[[[]],[]]]=>[[[],[[]]]]
[(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]=>[[[[]]],[[[]]]]=>[[[[]]],[[[]]]]
Map
to Dyck path
Description
The Dyck path corresponding to the opener-closer sequence of the perfect matching.
Map
to ordered tree
Description
Sends a Dyck path to the ordered tree encoding the heights of the path.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
This map is recursively defined as follows: A Dyck path $D$ of semilength $n$ may be decomposed, according to its returns (St000011The number of touch points (or returns) of a Dyck path.), into smaller paths $D_1,\dots,D_k$ of respective semilengths $n_1,\dots,n_k$ (so one has $n = n_1 + \dots n_k$) each of which has no returns.
Denote by $\tilde D_i$ the path of semilength $n_i-1$ obtained from $D_i$ by removing the initial up- and the final down-step.
This map then sends $D$ to the tree $T$ having a root note with ordered children $T_1,\dots,T_k$ which are again ordered trees computed from $D_1,\dots,D_k$ respectively.
The unique path of semilength $1$ is sent to the tree consisting of a single node.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
searching the database
Sorry, this map was not found in the database.