Identifier
Mp00143: Dyck paths inverse promotionDyck paths
Mp00026: Dyck paths to ordered treeOrdered trees
Mp00046: Ordered trees to graph Graphs
Images
=>
Cc0005;cc-rep-0Cc0005;cc-rep-1Cc0021;cc-rep-2Cc0020;cc-rep-3
[1,0]=>[1,0]=>[[]]=>([(0,1)],2) [1,0,1,0]=>[1,1,0,0]=>[[[]]]=>([(0,2),(1,2)],3) [1,1,0,0]=>[1,0,1,0]=>[[],[]]=>([(0,2),(1,2)],3) [1,0,1,0,1,0]=>[1,1,0,1,0,0]=>[[[],[]]]=>([(0,3),(1,3),(2,3)],4) [1,0,1,1,0,0]=>[1,1,1,0,0,0]=>[[[[]]]]=>([(0,3),(1,2),(2,3)],4) [1,1,0,0,1,0]=>[1,0,1,1,0,0]=>[[],[[]]]=>([(0,3),(1,2),(2,3)],4) [1,1,0,1,0,0]=>[1,0,1,0,1,0]=>[[],[],[]]=>([(0,3),(1,3),(2,3)],4) [1,1,1,0,0,0]=>[1,1,0,0,1,0]=>[[[]],[]]=>([(0,3),(1,2),(2,3)],4) [1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0]=>[[[],[],[]]]=>([(0,4),(1,4),(2,4),(3,4)],5) [1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0]=>[[[],[[]]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0]=>[[[[]],[]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0]=>[[[[],[]]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0]=>[[[[[]]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0]=>[[],[[],[]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0]=>[[],[[[]]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0]=>[[],[],[[]]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]=>[[],[],[],[]]=>([(0,4),(1,4),(2,4),(3,4)],5) [1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0]=>[[],[[]],[]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0]=>[[[]],[[]]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0]=>[[[]],[],[]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0]=>[[[],[]],[]]=>([(0,4),(1,4),(2,3),(3,4)],5) [1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0]=>[[[[]]],[]]=>([(0,4),(1,3),(2,3),(2,4)],5) [1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0]=>[[[],[],[],[]]]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0]=>[[[],[],[[]]]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]=>[[[],[[]],[]]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]=>[[[],[[],[]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0]=>[[[],[[[]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]=>[[[[]],[],[]]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0]=>[[[[]],[[]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]=>[[[[],[]],[]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0]=>[[[[],[],[]]]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0]=>[[[[],[[]]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0]=>[[[[[]]],[]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]=>[[[[[]],[]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]=>[[[[[],[]]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0]=>[[[[[[]]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0]=>[[],[[],[],[]]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0]=>[[],[[],[[]]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]=>[[],[[[]],[]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]=>[[],[[[],[]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0]=>[[],[[[[]]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0]=>[[],[],[[],[]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0]=>[[],[],[[[]]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>[[],[],[],[[]]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>[[],[],[],[],[]]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6) [1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>[[],[],[[]],[]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]=>[[],[[]],[[]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>[[],[[]],[],[]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>[[],[[],[]],[]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0]=>[[],[[[]]],[]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]=>[[[]],[[],[]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0]=>[[[]],[[[]]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]=>[[[]],[],[[]]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>[[[]],[],[],[]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0]=>[[[]],[[]],[]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]=>[[[],[]],[[]]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>[[[],[]],[],[]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6) [1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>[[[],[],[]],[]]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6) [1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0]=>[[[],[[]]],[]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]=>[[[[]]],[[]]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]=>[[[[]]],[],[]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0]=>[[[[]],[]],[]]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6) [1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0]=>[[[[],[]]],[]]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6) [1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0]=>[[[[[]]]],[]]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6) [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[[[],[],[],[],[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[[[],[],[],[[]]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[[[],[],[[]],[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[[[],[],[[],[]]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[[[],[],[[[]]]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[[[],[[]],[],[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[[[],[[]],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[[[],[[],[]],[]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[[[],[[],[],[]]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[[[],[[],[[]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[[[],[[[]]],[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[[[],[[[]],[]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[[[],[[[],[]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[[[],[[[[]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[[[[]],[],[],[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[[[[]],[],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[[[[]],[[]],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[[[[]],[[],[]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[[[[]],[[[]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[[[[],[]],[],[]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[[[[],[]],[[]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[[[[],[],[]],[]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[[[[],[],[],[]]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[[[[],[],[[]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[[[[],[[]]],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[[[[],[[]],[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[[[[],[[],[]]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[[[[],[[[]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[[[[[]]],[],[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[[[[[]]],[[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[[[[[]],[]],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[[[[[]],[],[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[[[[[]],[[]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[[[[[],[]]],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[[[[[],[]],[]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[[[[[],[],[]]]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[[[[[],[[]]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[[[[[[]]]],[]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[[[[[[]]],[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[[[[[[]],[]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[[[[[[],[]]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[[[[[[[]]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[[],[[],[],[],[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[[],[[],[],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[[],[[],[[]],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[[],[[],[[],[]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[[],[[],[[[]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[[],[[[]],[],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[[],[[[]],[[]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[[],[[[],[]],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[[],[[[],[],[]]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[[],[[[],[[]]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[[],[[[[]]],[]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[[],[[[[]],[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[[],[[[[],[]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[[],[[[[[]]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[[],[],[[],[],[]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[[],[],[[],[[]]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[[],[],[[[]],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[[],[],[[[],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[[],[],[[[[]]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[[],[],[],[[],[]]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[[],[],[],[[[]]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[[],[],[],[],[[]]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[[],[],[],[],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[[],[],[],[[]],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[[],[],[[]],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[[],[],[[]],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[[],[],[[],[]],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[[],[],[[[]]],[]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[[],[[]],[[],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[[],[[]],[[[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[[],[[]],[],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[[],[[]],[],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[[],[[]],[[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[[],[[],[]],[[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[[],[[],[]],[],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[[],[[],[],[]],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[[],[[],[[]]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[[],[[[]]],[[]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[[],[[[]]],[],[]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[[],[[[]],[]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[[],[[[],[]]],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[[],[[[[]]]],[]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[[[]],[[],[],[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[[[]],[[],[[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[[[]],[[[]],[]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[[[]],[[[],[]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[[[]],[[[[]]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[[[]],[],[[],[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[[[]],[],[[[]]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[[[]],[],[],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[[[]],[],[],[],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[[[]],[],[[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[[[]],[[]],[[]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[[[]],[[]],[],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[[[]],[[],[]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[[[]],[[[]]],[]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[[[],[]],[[],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[[[],[]],[[[]]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[[[],[]],[],[[]]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[[[],[]],[],[],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[[[],[]],[[]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[[[],[],[]],[[]]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[[[],[],[]],[],[]]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[[[],[],[],[]],[]]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[[[],[],[[]]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[[[],[[]]],[[]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[[[],[[]]],[],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[[[],[[]],[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[[[],[[],[]]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[[[],[[[]]]],[]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[[[[]]],[[],[]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[[[[]]],[[[]]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[[[[]]],[],[[]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[[[[]]],[],[],[]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[[[[]]],[[]],[]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[[[[]],[]],[[]]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[[[[]],[]],[],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[[[[]],[],[]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[[[[]],[[]]],[]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) [1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[[[[],[]]],[[]]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[[[[],[]]],[],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[[[[],[]],[]],[]]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[[[[],[],[]]],[]]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[[[[],[[]]]],[]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[[[[[]]]],[[]]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[[[[[]]]],[],[]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[[[[[]]],[]],[]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[[[[[]],[]]],[]]=>([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[[[[[],[]]]],[]]=>([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[[[[[[]]]]],[]]=>([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[[],[],[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[[],[],[],[],[[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[[],[],[],[[]],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[[],[],[],[[],[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[],[],[],[[[]]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[[],[],[[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[],[],[[]],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[[],[],[[],[]],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[[],[],[[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[[],[],[[],[[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[],[],[[[]]],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[],[],[[[]],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[[],[],[[[],[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[[],[],[[[[]]]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[[],[[]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[[],[[]],[],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[],[[]],[[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[],[[]],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[[],[[]],[[[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[[],[[],[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[[],[[],[]],[[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[[],[[],[],[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[[],[[],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[],[[],[],[[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[],[[],[[]]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[],[[],[[]],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[],[[],[[],[]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[[],[[],[[[]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[[],[[[]]],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[[],[[[]]],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[],[[[]],[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[[],[[[]],[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[],[[[]],[[]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[],[[[],[]]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[],[[[],[]],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[],[[[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[],[[[],[[]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[],[[[[]]]],[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[],[[[[]]],[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[],[[[[]],[]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[],[[[[],[]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[],[[[[[]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[[[]],[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[[[]],[],[],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[[[]],[],[[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[[]],[],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[[]],[],[[[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[[[]],[[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[[[]],[[]],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[[]],[[],[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[[[]],[[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[[[]],[[],[[]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[[]],[[[]]],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[[]],[[[]],[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[[[]],[[[],[]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[[[]],[[[[]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[[[],[]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[[[],[]],[],[[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[[[],[]],[[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[[],[]],[[],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[[],[]],[[[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[[[],[],[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[[[],[],[]],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[[[],[],[],[]],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[[],[],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[[[],[],[],[[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[[[],[],[[]]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[[[],[],[[]],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[[[],[],[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[[[],[],[[[]]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[[[],[[]]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[[],[[]]],[[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[[[],[[]],[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[[[],[[]],[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[[[],[[]],[[]]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[[],[[],[]]],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[[[],[[],[]],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[[[],[[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[[[],[[],[[]]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[[[],[[[]]]],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[[[],[[[]]],[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[[[],[[[]],[]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[[[],[[[],[]]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[[[],[[[[]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[[[[]]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[[[]]],[],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[[[]]],[[]],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[[[[]]],[[],[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[[[[]]],[[[]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[[[[]],[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[[[[]],[]],[[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[[[[]],[],[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[[[[]],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[[[[]],[],[[]]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[[[]],[[]]],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[[[]],[[]],[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[[[[]],[[],[]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[[[[]],[[[]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[[],[]]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[[[[],[]]],[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[[[],[]],[]],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[[[[],[]],[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[[[[],[]],[[]]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[[[[],[],[]]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[[[[],[],[]],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[[[[],[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[[[[],[],[[]]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[[[[],[[]]]],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[[[],[[]]],[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[[[[],[[]],[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[[],[[],[]]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[[[[],[[[]]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[[[[[]]]],[],[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[[[[[]]]],[[]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[[[[[]]],[]],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[[[[[]]],[],[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[[[[[]]],[[]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[[[[[]],[]]],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[[[[[]],[]],[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[[[[[]],[],[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[[[[[]],[[]]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[[[[[],[]]]],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[[[[[],[]]],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[[[],[]],[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[[[[[],[],[]]]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[[[[[],[[]]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[[[[[]]]]],[]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[[[[[[]]]],[]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[[[[[[]]],[]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[[[[[[]],[]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[[[[[[],[]]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[[[[[[[]]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[],[[],[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[],[[],[],[],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[],[[],[],[[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[],[[],[],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[],[[],[],[[[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[],[[],[[]],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[],[[],[[]],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[],[[],[[],[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[],[[],[[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[],[[],[[],[[]]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[],[[],[[[]]],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[],[[],[[[]],[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[],[[],[[[],[]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[],[[],[[[[]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[],[[[]],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[],[[[]],[],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[],[[[]],[[]],[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[],[[[]],[[],[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[],[[[]],[[[]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[],[[[],[]],[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[],[[[],[]],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[],[[[],[],[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[],[[[],[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[],[[[],[],[[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[],[[[],[[]]],[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[],[[[],[[]],[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[],[[[],[[],[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[],[[[],[[[]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[],[[[[]]],[],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[],[[[[]]],[[]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[],[[[[]],[]],[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[],[[[[]],[],[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[],[[[[]],[[]]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[],[[[[],[]]],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[],[[[[],[]],[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[],[[[[],[],[]]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[],[[[[],[[]]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[],[[[[[]]]],[]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[],[[[[[]]],[]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[],[[[[[]],[]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[],[[[[[],[]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[],[[[[[[]]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[],[],[[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[],[],[[],[],[[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[],[],[[],[[]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[],[],[[],[[],[]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[],[],[[],[[[]]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[],[],[[[]],[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[],[],[[[]],[[]]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[],[],[[[],[]],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[],[],[[[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[],[],[[[],[[]]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[],[],[[[[]]],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[],[],[[[[]],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[],[],[[[[],[]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[],[],[[[[[]]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[],[],[],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[],[],[],[[],[[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[],[],[],[[[]],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[],[],[],[[[],[]]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[],[],[],[[[[]]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[],[],[],[],[[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[],[],[],[],[[[]]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[],[],[],[],[],[[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[],[],[],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[],[],[],[],[[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[],[],[],[[]],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[],[],[],[[]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[],[],[],[[],[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[],[],[],[[[]]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[],[],[[]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[],[],[[]],[[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[],[],[[]],[],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[],[],[[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[],[],[[]],[[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[],[],[[],[]],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[],[],[[],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[],[],[[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[],[],[[],[[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[],[],[[[]]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[],[],[[[]]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[],[],[[[]],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[],[],[[[],[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[],[],[[[[]]]],[]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[],[[]],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[],[[]],[[],[[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[],[[]],[[[]],[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[],[[]],[[[],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[],[[]],[[[[]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[],[[]],[],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[],[[]],[],[[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[],[[]],[],[],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[],[[]],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[],[[]],[],[[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[],[[]],[[]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[],[[]],[[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[],[[]],[[],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[],[[]],[[[]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[],[[],[]],[[],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[],[[],[]],[[[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[],[[],[]],[],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[],[[],[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[],[[],[]],[[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[],[[],[],[]],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[],[[],[],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[],[[],[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[],[[],[],[[]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[],[[],[[]]],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[],[[],[[]]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[],[[],[[]],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[],[[],[[],[]]],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[],[[],[[[]]]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[],[[[]]],[[],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[],[[[]]],[[[]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[],[[[]]],[],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[],[[[]]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[],[[[]]],[[]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[],[[[]],[]],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[],[[[]],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[],[[[]],[],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[],[[[]],[[]]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[],[[[],[]]],[[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[],[[[],[]]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[],[[[],[]],[]],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[],[[[],[],[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[],[[[],[[]]]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[],[[[[]]]],[[]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[],[[[[]]]],[],[]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[],[[[[]]],[]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[],[[[[]],[]]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[],[[[[],[]]]],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[],[[[[[]]]]],[]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[[]],[[],[],[],[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[[]],[[],[],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[[]],[[],[[]],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[[]],[[],[[],[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[]],[[],[[[]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[[]],[[[]],[],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[[]],[[[]],[[]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[]],[[[],[]],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[[]],[[[],[],[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[[]],[[[],[[]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[[]],[[[[]]],[]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[[]],[[[[]],[]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[[]],[[[[],[]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[[]],[[[[[]]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[[]],[],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[[]],[],[[],[[]]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[]],[],[[[]],[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[]],[],[[[],[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[[]],[],[[[[]]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[[]],[],[],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[[]],[],[],[[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[[]],[],[],[],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[[]],[],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[[]],[],[],[[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[[]],[],[[]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[[]],[],[[]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[[]],[],[[],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[[]],[],[[[]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[]],[[]],[[],[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[[]],[[]],[[[]]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[[]],[[]],[],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[[]],[[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[[]],[[]],[[]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[]],[[],[]],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[[]],[[],[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[[]],[[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[[]],[[],[[]]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[[]],[[[]]],[[]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[[]],[[[]]],[],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[[]],[[[]],[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[[]],[[[],[]]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[]],[[[[]]]],[]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[[],[]],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[[],[]],[[],[[]]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[],[]],[[[]],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[],[]],[[[],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[[],[]],[[[[]]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[],[]],[],[[],[]]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[[],[]],[],[[[]]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[[],[]],[],[],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[[],[]],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[[],[]],[],[[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[],[]],[[]],[[]]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[[],[]],[[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[],[]],[[],[]],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[[],[]],[[[]]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[[],[],[]],[[],[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[[],[],[]],[[[]]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[[],[],[]],[],[[]]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[[],[],[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[[],[],[]],[[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[[],[],[],[]],[[]]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[[],[],[],[]],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[[],[],[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[[],[],[],[[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[[],[],[[]]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[[],[],[[]]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[[],[],[[]],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[[],[],[[],[]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[[],[],[[[]]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[[],[[]]],[[],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[[],[[]]],[[[]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[],[[]]],[],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[[],[[]]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[[],[[]]],[[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[],[[]],[]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[[],[[]],[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[[],[[]],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[],[[]],[[]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[],[[],[]]],[[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[],[[],[]]],[],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[],[[],[]],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[[],[[],[],[]]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[[],[[],[[]]]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[[],[[[]]]],[[]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[[],[[[]]]],[],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[[],[[[]]],[]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[[],[[[]],[]]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[],[[[],[]]]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[],[[[[]]]]],[]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[[[]]],[[],[],[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[[[]]],[[],[[]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[[[]]],[[[]],[]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[[[]]],[[[],[]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[[[]]],[[[[]]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[[]]],[],[[],[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[[[]]],[],[[[]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[[[]]],[],[],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[[[]]],[],[],[],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[[[]]],[],[[]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[[[]]],[[]],[[]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[[]]],[[]],[],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[[]]],[[],[]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[[]]],[[[]]],[]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[[]],[]],[[],[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[[[]],[]],[[[]]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[[]],[]],[],[[]]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[[[]],[]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[[]],[]],[[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[[[]],[],[]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[[[]],[],[]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[[[]],[],[],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[[[]],[],[[]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[[[]],[[]]],[[]]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[[[]],[[]]],[],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[[[]],[[]],[]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[[]],[[],[]]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[[[]],[[[]]]],[]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[[],[]]],[[],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[[[],[]]],[[[]]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[[],[]]],[],[[]]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[[[],[]]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[[],[]]],[[]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[[],[]],[]],[[]]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[[[],[]],[]],[],[]]=>([(0,6),(1,6),(2,5),(3,5),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[[[],[]],[],[]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[[[],[]],[[]]],[]]=>([(0,6),(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[[[],[],[]]],[[]]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[[[],[],[]]],[],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[[[],[],[]],[]],[]]=>([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[[[],[],[],[]]],[]]=>([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[[[],[],[[]]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[[[],[[]]]],[[]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[[[],[[]]]],[],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[[[],[[]]],[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[[],[[]],[]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[[],[[],[]]]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[[[],[[[]]]]],[]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[[[[]]]],[[],[]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[[[[]]]],[[[]]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[[[]]]],[],[[]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[[[[]]]],[],[],[]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[[[]]]],[[]],[]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[[[]]],[]],[[]]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[[[[]]],[]],[],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[[[[]]],[],[]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[[[]]],[[]]],[]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[[[[]],[]]],[[]]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[[[[]],[]]],[],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[[[]],[]],[]],[]]=>([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7),(6,7)],8) [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[[[[]],[],[]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[[[]],[[]]]],[]]=>([(0,6),(1,5),(2,4),(3,4),(3,7),(5,7),(6,7)],8) [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[[[[],[]]]],[[]]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[[],[]]]],[],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,5),(4,7),(5,6)],8) [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[[[],[]]],[]],[]]=>([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[[[],[]],[]]],[]]=>([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[[[[],[],[]]]],[]]=>([(0,7),(1,7),(2,7),(3,4),(4,6),(5,6),(5,7)],8) [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[[[[],[[]]]]],[]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[[[[[]]]]],[[]]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[[[[[]]]]],[],[]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[[[[[]]]],[]],[]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[[[[[]]],[]]],[]]=>([(0,6),(1,5),(2,7),(3,5),(3,7),(4,6),(4,7)],8) [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[[[[[]],[]]]],[]]=>([(0,6),(1,5),(2,7),(3,4),(3,5),(4,7),(6,7)],8) [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[[[[[],[]]]]],[]]=>([(0,6),(1,7),(2,7),(3,4),(3,5),(4,6),(5,7)],8) [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[[[[[[]]]]]],[]]=>([(0,7),(1,6),(2,3),(2,4),(3,5),(4,6),(5,7)],8) [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[[],[],[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[[],[],[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[[],[],[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[[],[],[],[],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[],[],[],[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[[],[],[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[],[],[],[[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[[],[],[],[[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[[],[],[],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[[],[],[],[[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[],[],[],[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[],[],[],[[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[[],[],[],[[[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[[],[],[],[[[[]]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[[],[],[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[[],[],[[]],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[],[],[[]],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[],[],[[]],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[[],[],[[]],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[[],[],[[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[[],[],[[],[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[[],[],[[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[[],[],[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[],[],[[],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[],[],[[],[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[],[],[[],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[],[],[[],[[],[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[[],[],[[],[[[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[[],[],[[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[[],[],[[[]]],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[],[],[[[]],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[[],[],[[[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[],[],[[[]],[[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[],[],[[[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[],[],[[[],[]],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[],[],[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[],[],[[[],[[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[],[],[[[[]]]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[],[],[[[[]]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[],[],[[[[]],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[],[],[[[[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[],[],[[[[[]]]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[[],[[]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[[],[[]],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[[],[[]],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[],[[]],[],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[],[[]],[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[[],[[]],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[[],[[]],[[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[],[[]],[[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[[],[[]],[[],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[[],[[]],[[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[],[[]],[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[],[[]],[[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[[],[[]],[[[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[[],[[]],[[[[]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[[],[[],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[[],[[],[]],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[[],[[],[]],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[],[[],[]],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[],[[],[]],[[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[[],[[],[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[[],[[],[],[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[[],[[],[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[],[[],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[[],[[],[],[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[[],[[],[],[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[[],[[],[],[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[[],[[],[],[[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[[],[[],[],[[[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[[],[[],[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[],[[],[[]]],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[[],[[],[[]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[[],[[],[[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[[],[[],[[]],[[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[],[[],[[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[[],[[],[[],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[[],[[],[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[[],[[],[[],[[]]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[[],[[],[[[]]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[[],[[],[[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[[],[[],[[[]],[]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[[],[[],[[[],[]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[[],[[],[[[[]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[[],[[[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[],[[[]]],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[],[[[]]],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[[],[[[]]],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[[],[[[]]],[[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[[],[[[]],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[[],[[[]],[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[[],[[[]],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[[],[[[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[[],[[[]],[],[[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[],[[[]],[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[],[[[]],[[]],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[[],[[[]],[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[[],[[[]],[[[]]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[],[[[],[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[[],[[[],[]]],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[],[[[],[]],[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[[],[[[],[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[[],[[[],[]],[[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[[],[[[],[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[[],[[[],[],[]],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[[],[[[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[[],[[[],[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[[],[[[],[[]]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[],[[[],[[]]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[[],[[[],[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[],[[[],[[],[]]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[[],[[[],[[[]]]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[[],[[[[]]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[[],[[[[]]]],[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[[],[[[[]]],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[[],[[[[]]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[[],[[[[]]],[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[[],[[[[]],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[[],[[[[]],[]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[[],[[[[]],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[[],[[[[]],[[]]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[[],[[[[],[]]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[[],[[[[],[]]],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[],[[[[],[]],[]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[[],[[[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[[],[[[[],[[]]]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[],[[[[[]]]]],[]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[[],[[[[[]]]],[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[[],[[[[[]]],[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[[],[[[[[]],[]]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[[],[[[[[],[]]]]]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[[],[[[[[[]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[[[[]],[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[[[[]],[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[[[[]],[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[[[[]],[],[],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[[[[]],[],[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[[[[]],[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[[[[]],[],[[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[[[[]],[],[[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[[[[]],[],[[],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[[[[]],[],[[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[[[[]],[],[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[[[[]],[],[[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[[[[]],[],[[[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[[[[]],[],[[[[]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[[[[]],[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[[[[]],[[]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[[[[]],[[]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[[[[]],[[]],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[[[[]],[[]],[[[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[[[[]],[[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[[[[]],[[],[]],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[[[[]],[[],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[[[[]],[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[[[[]],[[],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[[[[]],[[],[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[[[[]],[[],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[[[[]],[[],[[],[]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[[[[]],[[],[[[]]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[[[[]],[[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[[[[]],[[[]]],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[[[[]],[[[]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[[[[]],[[[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[[[[]],[[[]],[[]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[[[[]],[[[],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[[[[]],[[[],[]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[[[[]],[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[[[[]],[[[],[[]]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[[[[]],[[[[]]]],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[[[[]],[[[[]]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[[[[]],[[[[]],[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[[[[]],[[[[],[]]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[[[[]],[[[[[]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[[[[],[]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[[[[],[]],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[[[[],[]],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[[[[],[]],[],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[[[[],[]],[],[[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[[[[],[]],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[[[[],[]],[[]],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[[[[],[]],[[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[[[[],[]],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[[[[],[]],[[],[[]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[[[[],[]],[[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[[[[],[]],[[[]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[[[[],[]],[[[],[]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[[[[],[]],[[[[]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[[[[],[],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[[[[],[],[]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[[[[],[],[]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[[[[],[],[]],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[[[[],[],[]],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[[[[],[],[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[[[[],[],[],[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[[[[],[],[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[[[[],[],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[[[[],[],[],[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[[[[],[],[],[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[[[[],[],[],[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[[[[],[],[],[[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[[[[],[],[],[[[]]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[[[[],[],[[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[[[[],[],[[]]],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[[[[],[],[[]],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[[[[],[],[[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[[[[],[],[[]],[[]]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[[[[],[],[[],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[[[[],[],[[],[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[[[[],[],[[],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[[[[],[],[[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[[[[],[],[[[]]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[[[[],[],[[[]]],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[[[[],[],[[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[[[[],[],[[[],[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[[[[],[],[[[[]]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[[[[],[[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[[[[],[[]]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[[[[],[[]]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[[[[],[[]]],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[[[[],[[]]],[[[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[[[[],[[]],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[[[[],[[]],[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[[[[],[[]],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[[[[],[[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[[[[],[[]],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[[[[],[[]],[[]]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[[[[],[[]],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[[[[],[[]],[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[[[[],[[]],[[[]]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[[[[],[[],[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[[[[],[[],[]]],[[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[[[[],[[],[]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[[[[],[[],[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[[[[],[[],[]],[[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[[[[],[[],[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[[[[],[[],[],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[[[[],[[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[[[[],[[],[],[[]]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[[[[],[[],[[]]]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[[[[],[[],[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[[[[],[[],[[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[[[[],[[],[[],[]]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[[[[],[[],[[[]]]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[[[[],[[[]]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[[[[],[[[]]]],[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[[[[],[[[]]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[[[[],[[[]]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[[[[],[[[]]],[[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[[[[],[[[]],[]]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[[[[],[[[]],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[[[[],[[[]],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[[[[],[[[]],[[]]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[[[[],[[[],[]]]],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[[[[],[[[],[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[[[[],[[[],[]],[]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[[[[],[[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[[[[],[[[],[[]]]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[[[[],[[[[]]]]],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[[[[],[[[[]]]],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[[[[],[[[[]]],[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[[[[],[[[[]],[]]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[[[[],[[[[],[]]]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[[[[],[[[[[]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[[[[[]]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[[[[[]]],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[[[[[]]],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[[[[[]]],[],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[[[[[]]],[],[[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[[[[[]]],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[[[[[]]],[[]],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[[[[[]]],[[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[[[[[]]],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[[[[[]]],[[],[[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[[[[[]]],[[[]]],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[[[[[]]],[[[]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[[[[[]]],[[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[[[[[]]],[[[[]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[[[[[]],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[[[[[]],[]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[[[[[]],[]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[[[[[]],[]],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[[[[[]],[]],[[[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[[[[[]],[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[[[[[]],[],[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[[[[[]],[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[[[[[]],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[[[[[]],[],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[[[[[]],[],[[]]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[[[[[]],[],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[[[[[]],[],[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[[[[[]],[],[[[]]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[[[[[]],[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[[[[[]],[[]]],[[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[[[[[]],[[]],[]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[[[[[]],[[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[[[[[]],[[]],[[]]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[[[[[]],[[],[]]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[[[[[]],[[],[]],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[[[[[]],[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[[[[[]],[[],[[]]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[[[[[]],[[[]]]],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[[[[[]],[[[]]],[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[[[[[]],[[[]],[]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[[[[[]],[[[],[]]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[[[[[]],[[[[]]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[[[[[],[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[[[[[],[]]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[[[[[],[]]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[[[[[],[]]],[[],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[[[[[],[]]],[[[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[[[[[],[]],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[[[[[],[]],[]],[[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[[[[[],[]],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[[[[[],[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[[[[[],[]],[],[[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[[[[[],[]],[[]]],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[[[[[],[]],[[]],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[[[[[],[]],[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[[[[[],[]],[[[]]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[[[[[],[],[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[[[[[],[],[]]],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[[[[[],[],[]],[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[[[[[],[],[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[[[[[],[],[]],[[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[[[[[],[],[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[[[[[],[],[],[]],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[[[[[],[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[[[[[],[],[],[[]]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[[[[[],[],[[]]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[[[[[],[],[[]]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[[[[[],[],[[]],[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[[[[[],[],[[],[]]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[[[[[],[],[[[]]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[[[[[],[[]]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[[[[[],[[]]]],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[[[[[],[[]]],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[[[[[],[[]]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[[[[[],[[]]],[[]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[[[[[],[[]],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[[[[[],[[]],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[[[[[],[[]],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[[[[[],[[]],[[]]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[[[[[],[[],[]]]],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[[[[[],[[],[]]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[[[[[],[[],[]],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[[[[[],[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[[[[[],[[],[[]]]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[[[[[],[[[]]]]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[[[[[],[[[]]]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[[[[[],[[[]]],[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[[[[[],[[[]],[]]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[[[[[],[[[],[]]]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[[[[[],[[[[]]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[[[[[[]]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[[[[[[]]]],[],[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[[[[[[]]]],[[]],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[[[[[[]]]],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[[[[[[]]]],[[[]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[[[[[[]]],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[[[[[[]]],[]],[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[[[[[[]]],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[[[[[[]]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[[[[[[]]],[],[[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[[[[[[]]],[[]]],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[[[[[[]]],[[]],[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[[[[[[]]],[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[[[[[[]]],[[[]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[[[[[[]],[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[[[[[[]],[]]],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[[[[[[]],[]],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[[[[[[]],[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[[[[[[]],[]],[[]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[[[[[[]],[],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[[[[[[]],[],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[[[[[[]],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[[[[[[]],[],[[]]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[[[[[[]],[[]]]],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[[[[[[]],[[]]],[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[[[[[[]],[[]],[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[[[[[[]],[[],[]]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[[[[[[]],[[[]]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[[[[[[],[]]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[[[[[[],[]]]],[[]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[[[[[[],[]]],[]],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[[[[[[],[]]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[[[[[[],[]]],[[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[[[[[[],[]],[]]],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[[[[[[],[]],[]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[[[[[[],[]],[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[[[[[[],[]],[[]]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[[[[[[],[],[]]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[[[[[[],[],[]]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[[[[[[],[],[]],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[[[[[[],[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[[[[[[],[],[[]]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[[[[[[],[[]]]]],[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[[[[[[],[[]]]],[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[[[[[[],[[]]],[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[[[[[[],[[]],[]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[[[[[[],[[],[]]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[[[[[[],[[[]]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[[[[[[[]]]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[[[[[[[]]]]],[[]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[[[[[[[]]]],[]],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[[[[[[[]]]],[],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[[[[[[[]]]],[[]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[[[[[[[]]],[]]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[[[[[[[]]],[]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[[[[[[[]]],[],[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[[[[[[[]]],[[]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[[[[[[[]],[]]]],[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[[[[[[[]],[]]],[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[[[[[[[]],[]],[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[[[[[[[]],[],[]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[[[[[[[]],[[]]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[[[[[[[],[]]]]],[]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[[[[[[[],[]]]],[]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[[[[[[[],[]]],[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[[[[[[[],[]],[]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[[[[[[[],[],[]]]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[[[[[[[],[[]]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[[[[[[[[]]]]]],[]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[[[[[[[[]]]]],[]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[[[[[[[[]]]],[]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[[[[[[[[]]],[]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[[[[[[[[]],[]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[[[[[[[[],[]]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[[[[[[[[[]]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[[],[[],[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[[],[[],[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[[],[[],[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[[],[[],[],[],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[[],[[],[],[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[[],[[],[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[[],[[],[],[[]],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[[],[[],[],[[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[[],[[],[],[[],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[[],[[],[],[[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[[],[[],[],[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[[],[[],[],[[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[[],[[],[],[[[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[[],[[],[],[[[[]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[[],[[],[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[[],[[],[[]],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[[],[[],[[]],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[[],[[],[[]],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[[],[[],[[]],[[[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[[],[[],[[],[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[[],[[],[[],[]],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[[],[[],[[],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[[],[[],[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[[],[[],[[],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[[],[[],[[],[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[[],[[],[[],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[[],[[],[[],[[],[]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[[],[[],[[],[[[]]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[[],[[],[[[]]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[[],[[],[[[]]],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[[],[[],[[[]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[[],[[],[[[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[[],[[],[[[]],[[]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[[],[[],[[[],[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[[],[[],[[[],[]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[[],[[],[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[[],[[],[[[],[[]]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[[],[[],[[[[]]]],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[[],[[],[[[[]]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[[],[[],[[[[]],[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[[],[[],[[[[],[]]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[[],[[],[[[[[]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[[],[[[]],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[[],[[[]],[],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[[],[[[]],[],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[[],[[[]],[],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[[],[[[]],[],[[[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[[],[[[]],[[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[[],[[[]],[[]],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[[],[[[]],[[],[]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[[],[[[]],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[[],[[[]],[[],[[]]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[[],[[[]],[[[]]],[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[[],[[[]],[[[]],[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[[],[[[]],[[[],[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[[],[[[]],[[[[]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[[],[[[],[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[[],[[[],[]],[],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[[],[[[],[]],[[]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[[],[[[],[]],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[[],[[[],[]],[[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[[],[[[],[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[[],[[[],[],[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[[],[[[],[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[[],[[[],[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[[],[[[],[],[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[[],[[[],[],[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[[],[[[],[],[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[[],[[[],[],[[],[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[[],[[[],[],[[[]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[[],[[[],[[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[[],[[[],[[]]],[[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[[],[[[],[[]],[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[[],[[[],[[]],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[[],[[[],[[]],[[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[[],[[[],[[],[]]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[[],[[[],[[],[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[[],[[[],[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[[],[[[],[[],[[]]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[[],[[[],[[[]]]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[[],[[[],[[[]]],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[[],[[[],[[[]],[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[[],[[[],[[[],[]]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[[],[[[],[[[[]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[[],[[[[]]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[[],[[[[]]],[],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[[],[[[[]]],[[]],[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[[],[[[[]]],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[[],[[[[]]],[[[]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[[],[[[[]],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[[],[[[[]],[]],[[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[[],[[[[]],[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[[],[[[[]],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[[],[[[[]],[],[[]]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[[],[[[[]],[[]]],[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[[],[[[[]],[[]],[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[[],[[[[]],[[],[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[[],[[[[]],[[[]]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[[],[[[[],[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[[],[[[[],[]]],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[[],[[[[],[]],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[[],[[[[],[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[[],[[[[],[]],[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[[],[[[[],[],[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[[],[[[[],[],[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[[],[[[[],[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[[],[[[[],[],[[]]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[[],[[[[],[[]]]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[[],[[[[],[[]]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[[],[[[[],[[]],[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[[],[[[[],[[],[]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[[],[[[[],[[[]]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[[],[[[[[]]]],[],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[[],[[[[[]]]],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[[],[[[[[]]],[]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[[],[[[[[]]],[],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[[],[[[[[]]],[[]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[[],[[[[[]],[]]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[[],[[[[[]],[]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[[],[[[[[]],[],[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[[],[[[[[]],[[]]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[[],[[[[[],[]]]],[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[[],[[[[[],[]]],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[[],[[[[[],[]],[]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[[],[[[[[],[],[]]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[[],[[[[[],[[]]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[[],[[[[[[]]]]],[]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[[],[[[[[[]]]],[]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[[],[[[[[[]]],[]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[[],[[[[[[]],[]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[[],[[[[[[],[]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[[],[[[[[[[]]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[],[],[[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[],[],[[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[],[],[[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[],[],[[],[],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[],[],[[],[],[[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[],[],[[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[],[],[[],[[]],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[],[],[[],[[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[],[],[[],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[],[],[[],[[],[[]]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[],[],[[],[[[]]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[],[],[[],[[[]],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[],[],[[],[[[],[]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[],[],[[],[[[[]]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[],[],[[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[],[],[[[]],[],[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[],[],[[[]],[[]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[],[],[[[]],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[],[],[[[]],[[[]]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[],[],[[[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[],[],[[[],[]],[[]]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[],[],[[[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[],[],[[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[],[],[[[],[],[[]]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[],[],[[[],[[]]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[],[],[[[],[[]],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[],[],[[[],[[],[]]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[],[],[[[],[[[]]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[],[],[[[[]]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[],[],[[[[]]],[[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[],[],[[[[]],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[],[],[[[[]],[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[],[],[[[[]],[[]]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[],[],[[[[],[]]],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[],[],[[[[],[]],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[],[],[[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[],[],[[[[],[[]]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[],[],[[[[[]]]],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[],[],[[[[[]]],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[],[],[[[[[]],[]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[],[],[[[[[],[]]]]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[],[],[[[[[[]]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[],[],[],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[],[],[],[[],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[],[],[],[[],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[],[],[],[[],[[],[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[],[],[],[[],[[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[],[],[],[[[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[],[],[],[[[]],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[],[],[],[[[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[],[],[],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[],[],[],[[[],[[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[],[],[],[[[[]]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[],[],[],[[[[]],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[],[],[],[[[[],[]]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[],[],[],[[[[[]]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[],[],[],[],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[],[],[],[],[[],[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[],[],[],[],[[[]],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[],[],[],[],[[[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[],[],[],[],[[[[]]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[],[],[],[],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[],[],[],[],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[],[],[],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[],[],[],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[],[],[],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[],[],[],[],[[]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[],[],[],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[],[],[],[],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[],[],[],[],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[],[],[],[[]],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[],[],[],[[]],[[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[],[],[],[[]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[],[],[],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[],[],[],[[]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[],[],[],[[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[],[],[],[[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[],[],[],[[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[],[],[],[[],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[],[],[],[[[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[],[],[],[[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[],[],[],[[[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[],[],[],[[[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[],[],[],[[[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[],[],[[]],[[],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[],[],[[]],[[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[],[],[[]],[[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[],[],[[]],[[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[],[],[[]],[[[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[],[],[[]],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[],[],[[]],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[],[],[[]],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[],[],[[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[],[],[[]],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[],[],[[]],[[]],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[],[],[[]],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[],[],[[]],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[],[],[[]],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[],[],[[],[]],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[],[],[[],[]],[[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[],[],[[],[]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[],[],[[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[],[],[[],[]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[],[],[[],[],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[],[],[[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[],[],[[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[],[],[[],[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[],[],[[],[[]]],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[],[],[[],[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[],[],[[],[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[],[],[[],[[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[],[],[[],[[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[],[],[[[]]],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[],[],[[[]]],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[],[],[[[]]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[],[],[[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[],[],[[[]]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[],[],[[[]],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[],[],[[[]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[],[],[[[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[],[],[[[]],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[],[],[[[],[]]],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[],[],[[[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[],[],[[[],[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[],[],[[[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[],[],[[[],[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[],[],[[[[]]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[],[],[[[[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[],[],[[[[]]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[],[],[[[[]],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[],[],[[[[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[],[],[[[[[]]]]],[]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[],[[]],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[],[[]],[[],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[],[[]],[[],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[],[[]],[[],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[],[[]],[[],[[[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[],[[]],[[[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[],[[]],[[[]],[[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[],[[]],[[[],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[],[[]],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[],[[]],[[[],[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[],[[]],[[[[]]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[],[[]],[[[[]],[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[],[[]],[[[[],[]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[],[[]],[[[[[]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[],[[]],[],[[],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[],[[]],[],[[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[],[[]],[],[[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[],[[]],[],[[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[],[[]],[],[[[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[],[[]],[],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[],[[]],[],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[],[[]],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[],[[]],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[],[[]],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[],[[]],[],[[]],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[],[[]],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[],[[]],[],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[],[[]],[],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[],[[]],[[]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[],[[]],[[]],[[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[],[[]],[[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[],[[]],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[],[[]],[[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[],[[]],[[],[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[],[[]],[[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[],[[]],[[],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[],[[]],[[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[],[[]],[[[]]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[],[[]],[[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[],[[]],[[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[],[[]],[[[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[],[[]],[[[[]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[],[[],[]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[],[[],[]],[[],[[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[],[[],[]],[[[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[],[[],[]],[[[],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[],[[],[]],[[[[]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[],[[],[]],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[],[[],[]],[],[[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[],[[],[]],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[],[[],[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[],[[],[]],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[],[[],[]],[[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[],[[],[]],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[],[[],[]],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[],[[],[]],[[[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[],[[],[],[]],[[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[],[[],[],[]],[[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[],[[],[],[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[],[[],[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[],[[],[],[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[],[[],[],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[],[[],[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[],[[],[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[],[[],[],[],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[],[[],[],[[]]],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[],[[],[],[[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[],[[],[],[[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[],[[],[],[[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[],[[],[],[[[]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[],[[],[[]]],[[],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[],[[],[[]]],[[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[],[[],[[]]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[],[[],[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[],[[],[[]]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[],[[],[[]],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[],[[],[[]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[],[[],[[]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[],[[],[[]],[[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[],[[],[[],[]]],[[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[],[[],[[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[],[[],[[],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[],[[],[[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[],[[],[[],[[]]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[],[[],[[[]]]],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[],[[],[[[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[],[[],[[[]]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[],[[],[[[]],[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[],[[],[[[],[]]]],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[],[[],[[[[]]]]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[],[[[]]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[],[[[]]],[[],[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[],[[[]]],[[[]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[],[[[]]],[[[],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[],[[[]]],[[[[]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[],[[[]]],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[],[[[]]],[],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[],[[[]]],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[],[[[]]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[],[[[]]],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[],[[[]]],[[]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[],[[[]]],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[],[[[]]],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[],[[[]]],[[[]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[],[[[]],[]],[[],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[],[[[]],[]],[[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[],[[[]],[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[],[[[]],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[],[[[]],[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[],[[[]],[],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[],[[[]],[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[],[[[]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[],[[[]],[],[[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[],[[[]],[[]]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[],[[[]],[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[],[[[]],[[]],[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[],[[[]],[[],[]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[],[[[]],[[[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[],[[[],[]]],[[],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[],[[[],[]]],[[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[],[[[],[]]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[],[[[],[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[],[[[],[]]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[],[[[],[]],[]],[[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[],[[[],[]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[],[[[],[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[],[[[],[]],[[]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[],[[[],[],[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[],[[[],[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[],[[[],[],[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[],[[[],[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[],[[[],[],[[]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[],[[[],[[]]]],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[],[[[],[[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[],[[[],[[]]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[],[[[],[[]],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[],[[[],[[],[]]]],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[],[[[],[[[]]]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[],[[[[]]]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[],[[[[]]]],[[[]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[],[[[[]]]],[],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[],[[[[]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[],[[[[]]]],[[]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[],[[[[]]],[]],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[],[[[[]]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[],[[[[]]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[],[[[[]]],[[]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[],[[[[]],[]]],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[],[[[[]],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[],[[[[]],[]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[],[[[[]],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[],[[[[]],[[]]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[],[[[[],[]]]],[[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[],[[[[],[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[],[[[[],[]]],[]],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[],[[[[],[]],[]]],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[],[[[[],[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[],[[[[],[[]]]]],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[],[[[[[]]]]],[[]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[],[[[[[]]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[],[[[[[]]]],[]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[],[[[[[]]],[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[],[[[[[]],[]]]],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[],[[[[[],[]]]]],[]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[],[[[[[[]]]]]],[]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[[[]],[[],[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[[[]],[[],[],[],[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[[[]],[[],[],[[]],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[[[]],[[],[],[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[[[]],[[],[],[[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[[[]],[[],[[]],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[[[]],[[],[[]],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[[[]],[[],[[],[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[[[]],[[],[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[[[]],[[],[[],[[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[[[]],[[],[[[]]],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[[[]],[[],[[[]],[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[[[]],[[],[[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[[[]],[[],[[[[]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[[[]],[[[]],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[[[]],[[[]],[],[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[[[]],[[[]],[[]],[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[[[]],[[[]],[[],[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[[[]],[[[]],[[[]]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[[[]],[[[],[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[[[]],[[[],[]],[[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[[[]],[[[],[],[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[[[]],[[[],[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[[[]],[[[],[],[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[[[]],[[[],[[]]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[[[]],[[[],[[]],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[[[]],[[[],[[],[]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[[[]],[[[],[[[]]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[[[]],[[[[]]],[],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[[[]],[[[[]]],[[]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[[[]],[[[[]],[]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[[[]],[[[[]],[],[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[[[]],[[[[]],[[]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[[[]],[[[[],[]]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[[[]],[[[[],[]],[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[[[]],[[[[],[],[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[[[]],[[[[],[[]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[[[]],[[[[[]]]],[]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[[[]],[[[[[]]],[]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[[[]],[[[[[]],[]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[[[]],[[[[[],[]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[[[]],[[[[[[]]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[[[]],[],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[[[]],[],[[],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[[[]],[],[[],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[[[]],[],[[],[[],[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[[[]],[],[[],[[[]]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[[[]],[],[[[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[[[]],[],[[[]],[[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[[[]],[],[[[],[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[[[]],[],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[[[]],[],[[[],[[]]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[[[]],[],[[[[]]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[[[]],[],[[[[]],[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[[[]],[],[[[[],[]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[[[]],[],[[[[[]]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[[[]],[],[],[[],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[[[]],[],[],[[],[[]]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[[[]],[],[],[[[]],[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[[[]],[],[],[[[],[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[[[]],[],[],[[[[]]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[[[]],[],[],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[[[]],[],[],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[[[]],[],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[[[]],[],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[[[]],[],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[[[]],[],[],[[]],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[[[]],[],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[[[]],[],[],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[[[]],[],[],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[[[]],[],[[]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[[[]],[],[[]],[[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[[[]],[],[[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[[[]],[],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[[[]],[],[[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[[[]],[],[[],[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[[[]],[],[[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[[[]],[],[[],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[[[]],[],[[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[[[]],[],[[[]]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[[[]],[],[[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[[[]],[],[[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[[[]],[],[[[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[[[]],[],[[[[]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[[[]],[[]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[[[]],[[]],[[],[[]]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[[[]],[[]],[[[]],[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[[[]],[[]],[[[],[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[[[]],[[]],[[[[]]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[[[]],[[]],[],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[[[]],[[]],[],[[[]]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[[[]],[[]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[[[]],[[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[[[]],[[]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[[[]],[[]],[[]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[[[]],[[]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[[[]],[[]],[[],[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[[[]],[[]],[[[]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[[[]],[[],[]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[[[]],[[],[]],[[[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[[[]],[[],[]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[[[]],[[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[[[]],[[],[]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[[[]],[[],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[[[]],[[],[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[[[]],[[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[[[]],[[],[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[[[]],[[],[[]]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[[[]],[[],[[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[[[]],[[],[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[[[]],[[],[[],[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[[[]],[[],[[[]]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[[[]],[[[]]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[[[]],[[[]]],[[[]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[[[]],[[[]]],[],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[[[]],[[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[[[]],[[[]]],[[]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[[[]],[[[]],[]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[[[]],[[[]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[[[]],[[[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[[[]],[[[]],[[]]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[[[]],[[[],[]]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[[[]],[[[],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[[[]],[[[],[]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[[[]],[[[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[[[]],[[[],[[]]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[[[]],[[[[]]]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[[[]],[[[[]]]],[],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[[[]],[[[[]]],[]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[[[]],[[[[]],[]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[[[]],[[[[],[]]]],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[[[]],[[[[[]]]]],[]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[[[],[]],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[[[],[]],[[],[],[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[[[],[]],[[],[[]],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[[[],[]],[[],[[],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[],[]],[[],[[[]]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[[[],[]],[[[]],[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[[[],[]],[[[]],[[]]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[],[]],[[[],[]],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[[[],[]],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[[[],[]],[[[],[[]]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[[[],[]],[[[[]]],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[[[],[]],[[[[]],[]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[[[],[]],[[[[],[]]]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[[[],[]],[[[[[]]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[[[],[]],[],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[[[],[]],[],[[],[[]]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[],[]],[],[[[]],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[],[]],[],[[[],[]]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[[[],[]],[],[[[[]]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[[[],[]],[],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[[[],[]],[],[],[[[]]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[[[],[]],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[[[],[]],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[[[],[]],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[[[],[]],[],[[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[[[],[]],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[[[],[]],[],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[[[],[]],[],[[[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[],[]],[[]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[[[],[]],[[]],[[[]]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[[[],[]],[[]],[],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[[[],[]],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[[[],[]],[[]],[[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[],[]],[[],[]],[[]]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[[[],[]],[[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[[[],[]],[[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[[[],[]],[[],[[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[[[],[]],[[[]]],[[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[[[],[]],[[[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[[[],[]],[[[]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[[[],[]],[[[],[]]],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[],[]],[[[[]]]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[[[],[],[]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[[[],[],[]],[[],[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[],[],[]],[[[]],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[],[],[]],[[[],[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[[[],[],[]],[[[[]]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[],[],[]],[],[[],[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[[[],[],[]],[],[[[]]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[[[],[],[]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[[[],[],[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[[[],[],[]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[],[],[]],[[]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[[[],[],[]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[],[],[]],[[],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[[[],[],[]],[[[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[[[],[],[],[]],[[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[[[],[],[],[]],[[[]]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[[[],[],[],[]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[[[],[],[],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[[[],[],[],[]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[[[],[],[],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[[[],[],[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[[[],[],[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[[[],[],[],[],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[[[],[],[],[[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[[[],[],[],[[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[[[],[],[],[[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[[[],[],[],[[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[[[],[],[],[[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[[[],[],[[]]],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[[[],[],[[]]],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[],[],[[]]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[[[],[],[[]]],[],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[[[],[],[[]]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[],[],[[]],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[[[],[],[[]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[[[],[],[[]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[],[],[[]],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[],[],[[],[]]],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[],[],[[],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[],[],[[],[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[[[],[],[[],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[[[],[],[[],[[]]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[[[],[],[[[]]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[[[],[],[[[]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[[[],[],[[[]]],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[[[],[],[[[]],[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[],[],[[[],[]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[],[],[[[[]]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[[[],[[]]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[[[],[[]]],[[],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[[[],[[]]],[[[]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[[[],[[]]],[[[],[]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[[[],[[]]],[[[[]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[],[[]]],[],[[],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[[[],[[]]],[],[[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[[[],[[]]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[[[],[[]]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[[[],[[]]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[[[],[[]]],[[]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[],[[]]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[],[[]]],[[],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[],[[]]],[[[]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[],[[]],[]],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[[[],[[]],[]],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[],[[]],[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[[[],[[]],[]],[],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[],[[]],[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[[[],[[]],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[[[],[[]],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[[[],[[]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[[[],[[]],[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[[[],[[]],[[]]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[[[],[[]],[[]]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[[[],[[]],[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[],[[]],[[],[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[[[],[[]],[[[]]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[],[[],[]]],[[],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[[[],[[],[]]],[[[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[],[[],[]]],[],[[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[[[],[[],[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[],[[],[]]],[[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[],[[],[]],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[[[],[[],[]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[[[],[[],[]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[[[],[[],[]],[[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[[[],[[],[],[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[[[],[[],[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[[[],[[],[],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[[[],[[],[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[[[],[[],[],[[]]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[[[],[[],[[]]]],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[[[],[[],[[]]]],[],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[[[],[[],[[]]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[],[[],[[]],[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[],[[],[[],[]]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[[[],[[],[[[]]]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[[[],[[[]]]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[[[],[[[]]]],[[[]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[],[[[]]]],[],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[[[],[[[]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[],[[[]]]],[[]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[],[[[]]],[]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[[[],[[[]]],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[[[],[[[]]],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[],[[[]]],[[]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[[[],[[[]],[]]],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[[[],[[[]],[]]],[],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[],[[[]],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[[[],[[[]],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[],[[[]],[[]]]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[[[],[[[],[]]]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[],[[[],[]]]],[],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[],[[[],[]]],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[],[[[],[]],[]]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[[[],[[[],[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[[[],[[[],[[]]]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[[[],[[[[]]]]],[[]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[[[],[[[[]]]]],[],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[[[],[[[[]]]],[]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[[[],[[[[]]],[]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[[[],[[[[]],[]]]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[[[],[[[[],[]]]]],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[[[],[[[[[]]]]]],[]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[[[[]]],[[],[],[],[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[[[[]]],[[],[],[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[[[[]]],[[],[[]],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[[[[]]],[[],[[],[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[[[[]]],[[],[[[]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[[[[]]],[[[]],[],[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[[[[]]],[[[]],[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[[[[]]],[[[],[]],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[[[[]]],[[[],[],[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[[[[]]],[[[],[[]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[[[[]]],[[[[]]],[]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[[[[]]],[[[[]],[]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[[[[]]],[[[[],[]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[[[[]]],[[[[[]]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[[[[]]],[],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[[[[]]],[],[[],[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[[[[]]],[],[[[]],[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[[[[]]],[],[[[],[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[[[[]]],[],[[[[]]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[[[[]]],[],[],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[[[[]]],[],[],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[[[[]]],[],[],[],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[[[[]]],[],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[[[[]]],[],[],[[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[[[[]]],[],[[]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[[[[]]],[],[[]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[[[[]]],[],[[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[[[[]]],[],[[[]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[[[[]]],[[]],[[],[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[[[[]]],[[]],[[[]]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[[[[]]],[[]],[],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[[[[]]],[[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[[[[]]],[[]],[[]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[[[[]]],[[],[]],[[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[[[[]]],[[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[[[[]]],[[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[[[[]]],[[],[[]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[[[[]]],[[[]]],[[]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[[[[]]],[[[]]],[],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[[[[]]],[[[]],[]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[[[[]]],[[[],[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[[[[]]],[[[[]]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[[[[]],[]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[[[[]],[]],[[],[[]]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[[[[]],[]],[[[]],[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[[[[]],[]],[[[],[]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[[[[]],[]],[[[[]]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[[[[]],[]],[],[[],[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[[[[]],[]],[],[[[]]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[[[[]],[]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[[[[]],[]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[[[[]],[]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[[[[]],[]],[[]],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[[[[]],[]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[[[[]],[]],[[],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[[[[]],[]],[[[]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[[[[]],[],[]],[[],[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[[[[]],[],[]],[[[]]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[[[[]],[],[]],[],[[]]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[[[[]],[],[]],[],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[[[[]],[],[]],[[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[[[[]],[],[],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[[[[]],[],[],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[[[[]],[],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[[[[]],[],[],[[]]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[[[[]],[],[[]]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[[[[]],[],[[]]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[[[[]],[],[[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[[[[]],[],[[],[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[[[[]],[],[[[]]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[[[[]],[[]]],[[],[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[[[[]],[[]]],[[[]]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[[[[]],[[]]],[],[[]]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[[[[]],[[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[[[[]],[[]]],[[]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[[[[]],[[]],[]],[[]]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[[[[]],[[]],[]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[[[[]],[[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[[[[]],[[]],[[]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(4,8),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[[[[]],[[],[]]],[[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[[[[]],[[],[]]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[[[[]],[[],[]],[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[[[[]],[[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[[[[]],[[],[[]]]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[[[[]],[[[]]]],[[]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[[[[]],[[[]]]],[],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[[[[]],[[[]]],[]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[[[[]],[[[]],[]]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[[[[]],[[[],[]]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[[[[]],[[[[]]]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[[[[],[]]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[[[[],[]]],[[],[[]]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[[[[],[]]],[[[]],[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[[[[],[]]],[[[],[]]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[[[[],[]]],[[[[]]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[[[[],[]]],[],[[],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[[[[],[]]],[],[[[]]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[[[[],[]]],[],[],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[[[[],[]]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[[[[],[]]],[],[[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[[[[],[]]],[[]],[[]]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[[[[],[]]],[[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[[[[],[]]],[[],[]],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[[[[],[]]],[[[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[[[[],[]],[]],[[],[]]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[[[[],[]],[]],[[[]]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[[[[],[]],[]],[],[[]]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[[[[],[]],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[[[[],[]],[]],[[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[[[[],[]],[],[]],[[]]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[[[[],[]],[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[[[[],[]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[[[[],[]],[],[[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[[[[],[]],[[]]],[[]]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[[[[],[]],[[]]],[],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[[[[],[]],[[]],[]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[[[[],[]],[[],[]]],[]]=>([(0,7),(1,7),(2,6),(3,6),(4,5),(5,8),(6,8),(7,8)],9) [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[[[[],[]],[[[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[[[[],[],[]]],[[],[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[[[[],[],[]]],[[[]]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[[[[],[],[]]],[],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[[[[],[],[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[[[[],[],[]]],[[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[[[[],[],[]],[]],[[]]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[[[[],[],[]],[]],[],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,6),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[[[[],[],[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,7),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[[[[],[],[]],[[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,7),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[[[[],[],[],[]]],[[]]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[[[[],[],[],[]]],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[[[[],[],[],[]],[]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[[[[],[],[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[[[[],[],[],[[]]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[[[[],[],[[]]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[[[[],[],[[]]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[[[[],[],[[]]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[[[[],[],[[]],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[[[[],[],[[],[]]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[[[[],[],[[[]]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[[[[],[[]]]],[[],[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[[[[],[[]]]],[[[]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[[[[],[[]]]],[],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[[[[],[[]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[[[[],[[]]]],[[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[[[[],[[]]],[]],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[[[[],[[]]],[]],[],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[[[[],[[]]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[[[[],[[]]],[[]]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[[[[],[[]],[]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[[[[],[[]],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[[[[],[[]],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[[[[],[[]],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[[[[],[[]],[[]]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[[[[],[[],[]]]],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[[[[],[[],[]]]],[],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[[[[],[[],[]]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[[[[],[[],[]],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[[[[],[[],[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[[[[],[[],[[]]]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[[[[],[[[]]]]],[[]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[[[[],[[[]]]]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[[[[],[[[]]]],[]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[[[[],[[[]]],[]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[[[[],[[[]],[]]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[[[[],[[[],[]]]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[[[[],[[[[]]]]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[[[[[]]]],[[],[],[]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[[[[[]]]],[[],[[]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[[[[[]]]],[[[]],[]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[[[[[]]]],[[[],[]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[[[[[]]]],[[[[]]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[[[[[]]]],[],[[],[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[[[[[]]]],[],[[[]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[[[[[]]]],[],[],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[[[[[]]]],[],[],[],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[[[[[]]]],[],[[]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[[[[[]]]],[[]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[[[[[]]]],[[]],[],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[[[[[]]]],[[],[]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[[[[[]]]],[[[]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[[[[[]]],[]],[[],[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[[[[[]]],[]],[[[]]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[[[[[]]],[]],[],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[[[[[]]],[]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[[[[[]]],[]],[[]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[[[[[]]],[],[]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[[[[[]]],[],[]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[[[[[]]],[],[],[]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[[[[[]]],[],[[]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[[[[[]]],[[]]],[[]]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[[[[[]]],[[]]],[],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[[[[[]]],[[]],[]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[[[[[]]],[[],[]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[[[[[]]],[[[]]]],[]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[[[[[]],[]]],[[],[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[[[[[]],[]]],[[[]]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[[[[[]],[]]],[],[[]]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[[[[[]],[]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[[[[[]],[]]],[[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[[[[[]],[]],[]],[[]]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[[[[[]],[]],[]],[],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[[[[[]],[]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[[[[[]],[]],[[]]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[[[[[]],[],[]]],[[]]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[[[[[]],[],[]]],[],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[[[[[]],[],[]],[]],[]]=>([(0,8),(1,8),(2,7),(3,5),(4,6),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[[[[[]],[],[],[]]],[]]=>([(0,8),(1,8),(2,8),(3,6),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[[[[[]],[],[[]]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[[[[[]],[[]]]],[[]]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[[[[[]],[[]]]],[],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[[[[[]],[[]]],[]],[]]=>([(0,7),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[[[[[]],[[]],[]]],[]]=>([(0,8),(1,5),(2,4),(3,6),(4,8),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[[[[[]],[[],[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[[[[[]],[[[]]]]],[]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[[[[[],[]]]],[[],[]]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[[[[[],[]]]],[[[]]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[[[[[],[]]]],[],[[]]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[[[[[],[]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[[[[[],[]]]],[[]],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[[[[[],[]]],[]],[[]]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[[[[[],[]]],[]],[],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[[[[[],[]]],[],[]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[[[[[],[]]],[[]]],[]]=>([(0,7),(1,7),(2,5),(3,4),(4,8),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[[[[[],[]],[]]],[[]]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[[[[[],[]],[]]],[],[]]=>([(0,6),(1,6),(2,7),(3,7),(4,8),(5,7),(5,8),(6,8)],9) [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[[[[[],[]],[]],[]],[]]=>([(0,8),(1,6),(2,6),(3,7),(4,5),(5,8),(6,7),(7,8)],9) [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[[[[[],[]],[],[]]],[]]=>([(0,8),(1,8),(2,7),(3,7),(4,5),(5,6),(6,8),(7,8)],9) [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[[[[[],[]],[[]]]],[]]=>([(0,7),(1,7),(2,6),(3,4),(4,8),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[[[[[],[],[]]]],[[]]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[[[[[],[],[]]]],[],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,7),(5,6),(5,8),(6,7)],9) [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[[[[[],[],[]]],[]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[[[[[],[],[]],[]]],[]]=>([(0,8),(1,8),(2,8),(3,7),(4,5),(5,6),(6,7),(7,8)],9) [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[[[[[],[],[],[]]]],[]]=>([(0,8),(1,8),(2,8),(3,8),(4,5),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[[[[[],[],[[]]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[[[[[],[[]]]]],[[]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[[[[[],[[]]]]],[],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[[[[[],[[]]]],[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[[[[[],[[]]],[]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[[[[[],[[]],[]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[[[[[],[[],[]]]]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[[[[[],[[[]]]]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[[[[[[]]]]],[[],[]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[[[[[[]]]]],[[[]]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[[[[[[]]]]],[],[[]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[[[[[[]]]]],[],[],[]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[[[[[[]]]]],[[]],[]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[[[[[[]]]],[]],[[]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[[[[[[]]]],[]],[],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[[[[[[]]]],[],[]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[[[[[[]]]],[[]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[[[[[[]]],[]]],[[]]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[[[[[[]]],[]]],[],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[[[[[[]]],[]],[]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[[[[[[]]],[],[]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,6),(5,7),(6,8),(7,8)],9) [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[[[[[[]]],[[]]]],[]]=>([(0,6),(1,5),(2,7),(3,5),(3,8),(4,6),(4,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[[[[[[]],[]]]],[[]]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[[[[[[]],[]]]],[],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[[[[[[]],[]]],[]],[]]=>([(0,8),(1,7),(2,4),(3,5),(4,7),(5,8),(6,7),(6,8)],9) [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[[[[[[]],[]],[]]],[]]=>([(0,8),(1,7),(2,6),(3,4),(4,7),(5,6),(5,8),(7,8)],9) [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[[[[[[]],[],[]]]],[]]=>([(0,8),(1,8),(2,5),(3,4),(4,8),(5,7),(6,7),(6,8)],9) [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[[[[[[]],[[]]]]],[]]=>([(0,7),(1,6),(2,5),(3,4),(3,5),(4,8),(6,8),(7,8)],9) [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[[[[[[],[]]]]],[[]]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[[[[[[],[]]]]],[],[]]=>([(0,7),(1,7),(2,8),(3,8),(4,6),(4,8),(5,6),(5,7)],9) [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[[[[[[],[]]]],[]],[]]=>([(0,7),(1,7),(2,8),(3,4),(4,8),(5,6),(5,7),(6,8)],9) [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[[[[[[],[]]],[]]],[]]=>([(0,8),(1,7),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[[[[[[],[]],[]]]],[]]=>([(0,8),(1,7),(2,7),(3,5),(4,6),(4,8),(5,6),(7,8)],9) [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[[[[[[],[],[]]]]],[]]=>([(0,8),(1,8),(2,8),(3,4),(4,6),(5,7),(5,8),(6,7)],9) [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[[[[[[],[[]]]]]],[]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[[[[[[[]]]]]],[[]]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[[[[[[[]]]]]],[],[]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[[[[[[[]]]]],[]],[]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[[[[[[[]]]],[]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[[[[[[[]]],[]]]],[]]=>([(0,6),(1,7),(2,8),(3,4),(3,7),(4,8),(5,6),(5,8)],9) [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[[[[[[[]],[]]]]],[]]=>([(0,7),(1,6),(2,8),(3,4),(3,5),(4,6),(5,8),(7,8)],9) [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[[[[[[[],[]]]]]],[]]=>([(0,7),(1,8),(2,8),(3,4),(3,5),(4,6),(5,7),(6,8)],9) [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[[[[[[[[]]]]]]],[]]=>([(0,8),(1,7),(2,3),(2,4),(3,5),(4,6),(5,7),(6,8)],9)
Map
inverse promotion
Description
The inverse promotion of a Dyck path.
This is the bijection obtained by applying the inverse of Sch├╝tzenberger's promotion to the corresponding two rowed standard Young tableau.
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
to graph
Description
Return the undirected graph obtained from the tree nodes and edges.