Identifier
Mp00150: Perfect matchings to Dyck pathDyck paths
Mp00026: Dyck paths to ordered treeOrdered 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.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.